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MINNESOTA STATE UNIVERSITY, MANKATO / Engineering / Math 113 / What happens to the position of the parabola when h < 0?

What happens to the position of the parabola when h < 0?

What happens to the position of the parabola when h < 0?

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School: Minnesota State University - Mankato
Department: Engineering
Course: Trigonometry
Professor: Sheng qu
Term: Spring 2017
Tags: Math trigonometry, Math, and math113
Cost: 50
Name: Math 113
Description: These notes cover all the answers to the assignments and also the questions that are about to be in the test. It covers from section 1.1 to section 2.5.
Uploaded: 01/14/2017
72 Pages 348 Views 0 Unlocks
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How far is the person at A from the base of the antenna?




How far is town L from town B?




At that time, how far is the boat from the harbor entrance, and what is the bearing of the boat from the harbor entrance (see the figure below)?



2/4/2017 Section 2.3 WebAssign Section 2.3 (Homework) Current Score : 16 / 17 Due : Friday, February 3 2017 02:00 PM CST Sonika Shrestha MATH 113, section 03, Spring 2017 Instructor: Sheng Qu The due date for this assignment is paDon't forget about the age old question of Define Analogy.
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st. Your work can be viewed below, but no changes can be made. Important! Before you view the answer key, decide whether or not you plan to request an extension. Your Instructor may not grant you an extension if you have viewed the answer key. Automatic extensions are not granted if you have viewed the answer key. Request Extension1. 3/3 points | Previous AnswersMcKTrig7 2.3.001. Fill in each blank with the appropriate word or words. To count the number of significant digits in a number, count all the digits from left to right left to right beginning with the first nonzero first nonzero digit on the left. If no decimal point is present, trailing zeros are not are not counted. 2. 4/4 points | Previous AnswersMcKTrig7 2.3.005. Determine the number of significant digits in each value. (a) 55,000 2 2 significant digits (b) 5.50 3 3 significant digits (c) 550 2 2 significant digits (d) 0.0055 2 2 significant digits http://www.webassign.net/web/Student/Assignment­Responses/view_key?dep=15747901 1/4 2/4/2017 Section 2.3 3. 1/1 points | Previous AnswersMcKTrig7 2.3.009. This problem refers to right triangle ABC with Begin the problem by drawing a picture of the C = 90°. triangle with both the given and asked for information labeled appropriately. If find b. (Round your answer to the nearest whole number.) A = 38° and c = 85 cm, b = 67 67 cm 4. 1/1 points | Previous AnswersMcKTrig7 2.3.015. This problem refers to right triangle ABC with Begin the problem by drawing a picture of the C = 90°. triangle with both the given and asked for information labeled appropriately. If find a. (Round your answer to three decimal places.) B = 53.77° and b = 18.33 yd, a = 13.430 13.430 yd 5. 1/1 points | Previous AnswersMcKTrig7 2.3.019. This problem refers to right triangle ABC with Begin the problem by drawing a picture of the C = 90°. triangle with both the given and asked for information labeled appropriately. If find B. (Round your answer to the nearest whole number.) b = 7.6 mm and c = 12 mm, B = 39 39 ° 6. 3/3 points | Previous AnswersMcKTrig7 2.3.035. This problem refers to right triangle ABC with C = 90°. Solve for all the missing parts using the given information. (Round your answers to the nearest whole number.) a = 39 ft, b = 84 ft A = 25 25 ° B = 65 65 ° c = 93 93 fthttp://www.webassign.net/web/Student/Assignment­Responses/view_key?dep=15747901 2/4 2/4/2017 Section 2.3 7. 1/1 points | Previous AnswersMcKTrig7 2.3.039. Use the information given in the diagram to find A to the nearest degree. A = 42 42 ° 8. 1/1 points | Previous AnswersMcKTrig7 2.3.041. The circle in the figure below has a radius of r and center at C. The distance from A to B is x. Redraw the figure below, label as indicated in the problem, and then solve the problem. If A = 30° and r = 9, find x. (Round your answer to the nearest whole number.) x = 9 9http://www.webassign.net/web/Student/Assignment­Responses/view_key?dep=15747901 3/4 2/4/2017 Section 2.3 9. 1/1 points | Previous AnswersMcKTrig7 2.3.053. In the figure below, the distance from A to D is y, the distance from D to C is x, and the distance from C to B is h. Use the figure to solve the following problem. If A = 40°, ∠BDC = 53°, and y = 14, find x. (Round your answer to the nearest whole number.) x = 24 24 10.0/1 points | Previous AnswersMcKTrig7 2.3.063. The figure below is a simplified model of a Ferris wheel with diameter 310 feet. The top of the wheel is 322 feet above the ground. If θ is the central angle formed as a rider moves from position P0 to position P1, find the rider's height above the ground h when θ is 120°. (Round your answer to one decimal place.) h = 245 244.5 fthttp://www.webassign.net/web/Student/Assignment­Responses/view_key?dep=15747901 4/4 2/4/2017 Section 2.4 WebAssign Section 2.4 (Homework) Current Score : 9 / 9 Due : Friday, February 3 2017 02:00 PM CST The due date for this assignment is past. Your work can be viewed below, but no changes can be made. Sonika Shrestha MATH 113, section 03, Spring 2017 Instructor: Sheng Qu Important! Before you view the answer key, decide whether or not you plan to request an extension. Your Instructor may not grant you an extension if you have viewed the answer key. Automatic extensions are not granted if you have viewed the answer key. Request Extension View Key1. 2/2 points | Previous AnswersMcKTrig7 2.4.001. Fill in each blank with the appropriate word. An angle measured upward from a horizontal line is called an angle of elevation , and an angle measured downward from a horizontal line is called an angle of depression . 2. 1/1 points | Previous AnswersMcKTrig7 2.4.003. Fill in the blank with the appropriate words. The bearing of a line is the acute angle between the line and a north­south line. http://www.webassign.net/web/Student/Assignment­Responses/last?dep=15747978 1/5 2/4/2017 Section 2.4 3. 1/1 points | Previous AnswersMcKTrig7 2.4.009. Draw a diagram that illustrates the given bearing. The bearing of B from A is N 40° E.http://www.webassign.net/web/Student/Assignment­Responses/last?dep=15747978 2/5 2/4/2017 Section 2.4 4. 1/1 points | Previous AnswersMcKTrig7 2.4.011. Draw a diagram that illustrates the given bearing. The bearing of B from A is S 25° W.http://www.webassign.net/web/Student/Assignment­Responses/last?dep=15747978 3/5 2/4/2017 Section 2.4 5. 2/2 points | Previous AnswersMcKTrig7 2.4.029. The following problem involves directions in the form of bearing, which we defined in this section. Remember that bearing is always measured from a north­south line. A boat leaves the harbor entrance and travels 22 miles in the direction N 41° E. The captain then turns the boat 90° and travels another 16 miles in the direction S 49° E. At that time, how far is the boat from the harbor entrance, and what is the bearing of the boat from the harbor entrance (see the figure below)? (Round your answers to the nearest whole number.) distance 27 mi bearing N 77 ° E6. 1/1 points | Previous AnswersMcKTrig7 2.4.031. The following problem involves directions in the form of bearing, which we defined in this section. Remember that bearing is always measured from a north­south line. Town L is 25 miles due south of town N. Town B is due east of town L and S 66° E from town N. How far is town L from town B? (Round your answer to the nearest whole number.) 56 mi http://www.webassign.net/web/Student/Assignment­Responses/last?dep=15747978 4/5 2/4/2017 Section 2.4 7. 1/1 points | Previous AnswersMcKTrig7 2.4.035. In the figure, a person standing at point A notices that the angle of elevation to the top of the antenna is 49° 30'. A second person standing 35.0 feet farther from the antenna than the person at A finds the angle of elevation to the top of the antenna to be 43° 10'. How far is the person at A from the base of the antenna? (Round your answer to the nearest whole number.) 141 fthttp://www.webassign.net/web/Student/Assignment­Responses/last?dep=15747978 5/5 2/4/2017 Section 2.2 WebAssign Section 2.2 (Homework) Current Score : 20 / 20 Due : Wednesday, February 1 2017 02:00 PM CST Sonika Shrestha MATH 113, section 03, Spring 2017 Instructor: Sheng Qu The due date for this assignment is past. Your work can be viewed below, but no changes can be made. Important! Before you view the answer key, decide whether or not you plan to request an extension. Your Instructor may not grant you an extension if you have viewed the answer key. Automatic extensions are not granted if you have viewed the answer key. Request Extension View Key1. 2/2 points | Previous AnswersMcKTrig7 2.2.001. Fill in each blank with the appropriate word. One degree is equal to 60 minutes or 3,600 seconds . 2. 2/2 points | Previous AnswersMcKTrig7 2.2.004. Fill in each blank with the appropriate word. On a calculator, the SIN−1, COS−1, and TAN−1 keys allow us to find an angle given the value of a trigonometric function. 3. 2/2 points | Previous AnswersMcKTrig7 2.2.005. Add as indicated. (36° 47') + (25° 24') 62 ° 11 ' 4. 2/2 points | Previous AnswersMcKTrig7 2.2.007. Add as indicated. (54° 55') + (38° 45') 93 ° 40 ' http://www.webassign.net/web/Student/Assignment­Responses/last?dep=15733413 1/3 2/4/2017 Section 2.2 5. 2/2 points | Previous AnswersMcKTrig7 2.2.009. Add as indicated. (66° 38') + (45° 7') 111 ° 45 ' 6. 2/2 points | Previous AnswersMcKTrig7 2.2.013. Subtract as indicated. 180° − (140° 48') 39 ° 12 ' 7. 2/2 points | Previous AnswersMcKTrig7 2.2.016. Subtract as indicated. (83° 38') − (27° 57') 55 ° 41 ' 8. 2/2 points | Previous AnswersMcKTrig7 2.2.017. Convert the following to degrees and minutes. 38.9° 38 ° 54 ' 9. 2/2 points | Previous AnswersMcKTrig7 2.2.019. Convert the following to degrees and minutes. 12.35° 12 ° 21 'http://www.webassign.net/web/Student/Assignment­Responses/last?dep=15733413 2/3 2/4/2017 Section 2.2 10.2/2 points | Previous AnswersMcKTrig7 2.2.023. Convert the following to degrees and minutes. 15.3° 15 ° 18 'http://www.webassign.net/web/Student/Assignment­Responses/last?dep=15733413 3/3 2/4/2017 Section 2.5 WebAssign Section 2.5 (Homework) Current Score : 7 / 7 Due : Friday, February 3 2017 02:00 PM CST Sonika Shrestha MATH 113, section 03, Spring 2017 Instructor: Sheng Qu The due date for this assignment is past. Your work can be viewed below, but no changes can be made. Important! Before you view the answer key, decide whether or not you plan to request an extension. Your Instructor may not grant you an extension if you have viewed the answer key. Automatic extensions are not granted if you have viewed the answer key. Request Extension View Key 1. 2/2 points | Previous AnswersMcKTrig7 2.5.001. Fill in each blank with the appropriate word. A quantity having only a magnitude is called a scalar , and a quantity having both a magnitude and direction is called a vector . 2. 1/1 points | Previous AnswersMcKTrig7 2.5.002. Fill in each blank with the appropriate word. (Select all that apply.) Two vectors are equivalent if they have the same _______ and _______. scalar origin magnitude diagonal direction3. 2/2 points | Previous AnswersMcKTrig7 2.5.003. Fill in each blank with the appropriate word or expression. The sum of two vectors is called the resultant , and it can be represented geometrically as the diagonal of a parallelogram having the two original vectors as adjacent sides. http://www.webassign.net/web/Student/Assignment­Responses/last?dep=15759893 1/2 2/4/2017 Section 2.5 4. 2/2 points | Previous AnswersMcKTrig7 2.5.004. Fill in each blank with the appropriate word or expression. A vector is in standard position if the tail of the vector is placed at the origin of a rectangular coordinate system.http://www.webassign.net/web/Student/Assignment­Responses/last?dep=15759893 2/2 1/17/2017 Section 1.2 WebAssign Section 1.2 (Homework) Current Score : 31 / 31 Due : Friday, January 20 2017 02:00 PM CST 1. 3/3 points | Previous AnswersMcKTrig7 1.2.001. Fill in each blank with the appropriate word or expression. Sonika Shrestha MATH 113, section 03, Spring 2017 Instructor: Sheng Qu The Cartesian plane is divided into four regions, or quadrants , numbered I through IV in a counterclockwise direction. 2. 2/2 points | Previous AnswersMcKTrig7 1.2.002. Fill in each blank with the appropriate word or expression. (x, y) = 0,0The unit circle has center and a radius of 1 . 3. 2/2 points | Previous AnswersMcKTrig7 1.2.003. Fill in each blank with the appropriate word or expression. An angle is in standard position if its vertex is at the origin and its initial side is along the positive x­axis . 4. 1/1 points | Previous AnswersMcKTrig7 1.2.005. Fill in the blank with the appropriate word or expression. When the terminal side of an angle in standard position lies along one of the axes, it is called a quadrantal angle. http://www.webassign.net/web/Student/Assignment­Responses/last?dep=15607336 1/14 1/17/2017 Section 1.2 5. 1/1 points | Previous AnswersMcKTrig7 1.2.007. State the formula for the distance d between (x1, y1) and (x2, y2). d = √((x2−x1)2+(y2−y1)2) 6. 1/1 points | Previous AnswersMcKTrig7 1.2.008. State the formula for a circle with center (h, k) and radius r. (Use the standard coordinate variables x and y.) (x−h)2+(y−k)2=r2 7. 1/1 points | Previous AnswersMcKTrig7 1.2.009. Determine which quadrant contains the following point. (8, −7) quadrant I quadrant II quadrant III quadrant IVhttp://www.webassign.net/web/Student/Assignment­Responses/last?dep=15607336 2/14 1/17/2017 Section 1.2 8. 1/1 points | Previous AnswersMcKTrig7 1.2.013. Graph the following line. y = xhttp://www.webassign.net/web/Student/Assignment­Responses/last?dep=15607336 3/14 1/17/2017 Section 1.2 9. 1/1 points | Previous AnswersMcKTrig7 1.2.017. In what two quadrants do all the points have negative x­coordinates? (Select all that apply.) quadrant I quadrant II quadrant III quadrant IV 10.1/1 points | Previous AnswersMcKTrig7 1.2.021. Graph the following parabola. y = x2 − 9http://www.webassign.net/web/Student/Assignment­Responses/last?dep=15607336 4/14 1/17/2017 Section 1.2 11.1/1 points | Previous AnswersMcKTrig7 1.2.023. Graph the following parabola. y = (x + 6)2 + 5http://www.webassign.net/web/Student/Assignment­Responses/last?dep=15607336 5/14 1/17/2017 Section 1.2 12.3/3 points | Previous AnswersMcKTrig7 1.2.025. 1 1 y = ax2 a = , , 1, 4, and 8. Use your graphing calculator to graph for Copy all five graphs onto a single coordinate system 8 4 and label each one. What happens to the shape of the parabola as the value of a gets close to zero? The parabola becomes narrower. The parabola becomes broader.What happens to the shape of the parabola when the value of a gets large? http://www.webassign.net/web/Student/Assignment­Responses/last?dep=15607336 6/14 1/17/2017 Section 1.2 The parabola becomes narrower. The parabola becomes broader.http://www.webassign.net/web/Student/Assignment­Responses/last?dep=15607336 7/14 1/17/2017 Section 1.2 13.3/3 points | Previous AnswersMcKTrig7 1.2.027. y = (x − h)2 h = −4, 0, and 4. Use your graphing calculator to graph for Copy all three graphs onto a single coordinate system, and label each one. What happens to the position of the parabola when h < 0? The parabola shifts downward. The parabola shifts upward. The parabola shifts to the left. The parabola shifts to the right. The parabola is reflected across the x­axis.What if h > 0? http://www.webassign.net/web/Student/Assignment­Responses/last?dep=15607336 8/14 1/17/2017 Section 1.2 The parabola shifts downward. The parabola shifts upward. The parabola shifts to the left. The parabola shifts to the right. The parabola is reflected across the x­axis. 14.1/1 points | Previous AnswersMcKTrig7 1.2.031. Find the distance d between the following pair of points. (5, 5), (9, 2) d = 5 15.1/1 points | Previous AnswersMcKTrig7 1.2.039. Find x so the distance between and is (Enter your answers as a comma­separated list.) (x, 1) (4, 4) 10.x = 5,3 http://www.webassign.net/web/Student/Assignment­Responses/last?dep=15607336 9/14 1/17/2017 Section 1.2 16.1/1 points | Previous AnswersMcKTrig7 1.2.050. Graph the following circle. x2 + y2 = 81http://www.webassign.net/web/Student/Assignment­Responses/last?dep=15607336 10/14 1/17/2017 Section 1.2 17.3/3 points | Previous AnswersMcKTrig7 1.2.073. Draw the following angle in standard position. 300° Find one positive angle and one negative angle that is coterminal with the given angle. 660 positive angle ° −60 negative angle °http://www.webassign.net/web/Student/Assignment­Responses/last?dep=15607336 11/14 1/17/2017 Section 1.2 http://www.webassign.net/web/Student/Assignment­Responses/last?dep=15607336 12/141/17/2017 Section 1.2 18.4/4 points | Previous AnswersMcKTrig7 1.2.077. Draw the following angle in standard position. 135° Then do the following. (a) Name a point on the terminal side of the angle. (−1, −1) (1, −1) (−1, 1) (1, 1) (0, −1)http://www.webassign.net/web/Student/Assignment­Responses/last?dep=15607336 13/14 1/17/2017 Section 1.2 (b) Find the distance d from the origin to that point. d = √2 (c) Name another angle that is coterminal with the angle you have drawn. 495 °http://www.webassign.net/web/Student/Assignment­Responses/last?dep=15607336 14/14 2/4/2017 Section 1.4 WebAssign Section 1.4 (Homework) Current Score : 27 / 28 Due : Wednesday, January 25 2017 02:00 PM CST Sonika Shrestha MATH 113, section 03, Spring 2017 Instructor: Sheng Qu The due date for this assignment is past. Your work can be viewed below, but no changes can be made. Important! Before you view the answer key, decide whether or not you plan to request an extension. Your Instructor may not grant you an extension if you have viewed the answer key. Automatic extensions are not granted if you have viewed the answer key. Request Extension 1. 1/1 points | Previous AnswersMcKTrig7 1.4.002. Fill in the blank with the appropriate expression. $$cos(θ) .2The notation cos2 θ is a shorthand for http://www.webassign.net/web/Student/Assignment­Responses/view_key?dep=15666780 1/8 2/4/2017 Section 1.4 2. 3/3 points | Previous AnswersMcKTrig7 1.4.003. Match each trigonometric function with its reciprocal. (a) sine cotangent cosecant secant (b) cosine cotangent cosecant secant (c) tangent cotangent cosecant secant3. 1/1 points | Previous AnswersMcKTrig7 1.4.005. Give the reciprocal of the number. 3 $$13 http://www.webassign.net/web/Student/Assignment­Responses/view_key?dep=15666780 2/8 2/4/2017 Section 1.4 4. 1/1 points | Previous AnswersMcKTrig7 1.4.011. Give the reciprocal of the number. 5x $$15x 5. 1/1 points | Previous AnswersMcKTrig7 1.4.015. Use the reciprocal identities for the following problem. If find cos θ. sec θ = −4, cos θ = $$−14 6. 1/1 points | Previous AnswersMcKTrig7 1.4.017. Use the reciprocal identities for the following problem. If find cot θ. tan θ = a (a ≠ 0),cot θ = $$1a http://www.webassign.net/web/Student/Assignment­Responses/view_key?dep=15666780 3/8 2/4/2017 Section 1.4 7. 1/1 points | Previous AnswersMcKTrig7 1.4.022. cot θ Use a ratio identity to find given the following values. 3 13 2 13 cot θ = $$23 sin θ = and cos θ = 13 13 8. 1/1 points | Previous AnswersMcKTrig7 1.4.025. Recall that sin2 θ means (sin θ)2. If tan θ = 3, find tan3 θ. tan3 θ = $$27 9. 1/1 points | Previous AnswersMcKTrig7 1.4.027. sin θ = 4/5, and cos θ = −3/5,Let and find the indicated value. tan θ = $$−43 http://www.webassign.net/web/Student/Assignment­Responses/view_key?dep=15666780 4/8 2/4/2017 Section 1.4 10.1/1 points | Previous AnswersMcKTrig7 1.4.033. Use the equivalent forms of the first Pythagorean identity. 3 Find cos θ if and θ terminates in QII. sin θ = 2 cos θ = $$−12 11.1/1 points | Previous AnswersMcKTrig7 1.4.041. Find sec θ if and θ terminates in QIII. tan θ = 8/15 sec θ = $$−√28915http://www.webassign.net/web/Student/Assignment­Responses/view_key?dep=15666780 5/8 2/4/2017 Section 1.4 12.5/5 points | Previous AnswersMcKTrig7 1.4.045. Find the remaining trigonometric ratios of θ based on the given information. cos θ = 12/13 and θ terminates in QI $$513 sin θ = $$512 tan θ = $$125 cot θ = $$1312 sec θ = $$135csc θ = http://www.webassign.net/web/Student/Assignment­Responses/view_key?dep=15666780 6/8 2/4/2017 Section 1.4 13.4/5 points | Previous AnswersMcKTrig7 1.4.048. Find the remaining trigonometric ratios of θ based on the given information. cos θ = −1/3 and θ is not in QII $$−√89 sin θ = $$3√89 tan θ = $$√893 cot θ = $$−3 sec θ = csc θ = $$−1√89http://www.webassign.net/web/Student/Assignment­Responses/view_key?dep=15666780 7/8 2/4/2017 Section 1.4 14.5/5 points | Previous AnswersMcKTrig7 1.4.053. Find the remaining trigonometric ratios of θ based on the given information. sec θ = a and θ terminates in QI $$√(a2−1)a2 sin θ = $$1a cos θ = $$a(√(a2−1)a2) tan θ = $$1a(√(a2−1)a2) cot θ = $$1√(a2−1)a2csc θ = http://www.webassign.net/web/Student/Assignment­Responses/view_key?dep=15666780 8/8 1/26/2017 Section 1.5 WebAssignSection 1.5 (Homework) Current Score : 19 / 19 Due : Monday, January 30 2017 02:00 PM CST 1. 2/2 points | Previous AnswersMcKTrig7 1.5.001. Fill in each blank with the appropriate word. Sonika Shrestha MATH 113, section 03, Spring 2017 Instructor: Sheng Qu One way to simplify an expression containing trigonometric functions is to first write the expression in terms of sines and cosines only. 2. 3/3 points | Previous AnswersMcKTrig7 1.5.002. Fill in each blank with the appropriate word or words. To prove, or verify, an identity, we can start with the left side of the equation and transform it until it is identical to the right side of the equation. 3. 1/1 points | Previous AnswersMcKTrig7 1.5.003. Write the following in terms of sin θ only. cos θ ± √1−sin2θ http://www.webassign.net/web/Student/Assignment­Responses/submit?dep=15725091 1/6 1/26/2017 Section 1.5 4. 1/1 points | Previous AnswersMcKTrig7 1.5.005. Write the following in terms of sin θ only. cot θ ± √1−sin2θsin(θ) 5. 1/1 points | Previous AnswersMcKTrig7 1.5.009. Write the following in terms of cos θ only. csc θ ± 1√1−cos2θ6. 1/1 points | Previous AnswersMcKTrig7 1.5.013. Write the following in terms of sin θ and cos θ; then simplify if possible. (Leave your answer in terms of sin θ and/or cos θ.) csc θ cot θ cosθsin2θ http://www.webassign.net/web/Student/Assignment­Responses/submit?dep=15725091 2/6 1/26/2017 Section 1.5 7. 1/1 points | Previous AnswersMcKTrig7 1.5.015. Write the following in terms of sin θ and cos θ; then simplify if possible. (Leave your answer in terms of sin θ and/or cos θ.) csc θ tan θ 1cos(θ) 8. 1/1 points | Previous AnswersMcKTrig7 1.5.021. Write the following in terms of sin θ and cos θ; then simplify if possible. (Leave your answer in terms of sin θ and/or cos θ.) tan θ cot θ sin2θcos2θ 9. 1/1 points | Previous AnswersMcKTrig7 1.5.023. Write the following in terms of sin θ and cos θ; then simplify if possible. (Leave your answer in terms of sin θ and/or cos θ.) sin θ csc θsin2θ http://www.webassign.net/web/Student/Assignment­Responses/submit?dep=15725091 3/6 1/26/2017 Section 1.5 10.1/1 points | Previous AnswersMcKTrig7 1.5.029. Write the following in terms of sin θ and cos θ; then simplify if possible. (Leave your answer in terms of sin θ and/or cos θ.) sec θ − tan θ sin θ cosθ 11.1/1 points | Previous AnswersMcKTrig7 1.5.037. Add or subtract as indicated. Then simplify your answer if possible. Leave your answer in terms of sin θ and/or cos θ. 1 cos θ− cos θ sin2θcos(θ) http://www.webassign.net/web/Student/Assignment­Responses/submit?dep=15725091 4/6 1/26/2017 Section 1.5 12.2/2 points | Previous AnswersMcKTrig7 1.5.041. Multiply. (Simplify your answer completely.) (a) a2−2ab+b2 (a − b)2 (b) 1−2cos(θ)sin(θ) (cos θ − sin θ)2 13.2/2 points | Previous AnswersMcKTrig7 1.5.043. Multiply. (Simplify your answer completely.) (a) a2−9a+20 (a − 4)(a − 5) (b) (sin θ − 4)(sin θ − 5)sin2θ−9sinθ+20 http://www.webassign.net/web/Student/Assignment­Responses/submit?dep=15725091 5/6 1/26/2017 Section 1.5 14.1/1 points | Previous AnswersMcKTrig7 1.5.058. Simplify the expression as much as possible after substituting cot θ for x. (Assume 0° < θ < x2 + 190°.) cscθ http://www.webassign.net/web/Student/Assignment­Responses/submit?dep=15725091 6/6 2/4/2017 Section 1.3 WebAssign Section 1.3 (Homework) Current Score : 49 / 49 Due : Wednesday, January 25 2017 02:00 PM CST The due date for this assignment is past. Your work can be viewed below, but no changes can be made. Sonika Shrestha MATH 113, section 03, Spring 2017 Instructor: Sheng Qu Important! Before you view the answer key, decide whether or not you plan to request an extension. Your Instructor may not grant you an extension if you have viewed the answer key. Automatic extensions are not granted if you have viewed the answer key. Request Extension View Key 1. 3/3 points | Previous AnswersMcKTrig7 1.3.001. Fill in each blank with the appropriate word. In Definition I, (x, y) is any point on the terminal side of θ when in standard position, and r is the distance from the origin to (x, y). 2. 2/2 points | Previous AnswersMcKTrig7 1.3.003. Which of the six trigonometric functions are undefined when (Select all that apply.) x = 0? sine cosine tangent cosecant secant cotangent Which of the six trigonometric functions are undefined when (Select all that apply.) y = 0? sine cosine tangent cosecant secant cotangenthttp://www.webassign.net/web/Student/Assignment­Responses/last?dep=15666731 1/12 2/4/2017 Section 1.3 3. 1/1 points | Previous AnswersMcKTrig7 1.3.004. Which of the six trigonometric functions do not depend on the value of r? (Select all that apply.) sine cosine tangent cosecant secant cotangent 4. 6/6 points | Previous AnswersMcKTrig7 1.3.005. Find all six trignometric functions of θ if the given point is on the terminal side of θ. (If an answer is undefined, enter UNDEFINED.) (6, 8) $$45 sin θ = $$35 cos θ = $$43 tan θ = $$54 csc θ = $$53 sec θ = $$34cot θ = http://www.webassign.net/web/Student/Assignment­Responses/last?dep=15666731 2/12 2/4/2017 Section 1.3 5. 6/6 points | Previous AnswersMcKTrig7 1.3.007. Find all six trigonometric functions of θ if the given point is on the terminal side of θ. (If an answer is undefined, enter UNDEFINED.) (−5, 12) $$1213 sin θ = $$−513 cos θ = $$−125 tan θ = $$1312 csc θ = $$−135 sec θ = $$−512cot θ = http://www.webassign.net/web/Student/Assignment­Responses/last?dep=15666731 3/12 2/4/2017 Section 1.3 6. 6/6 points | Previous AnswersMcKTrig7 1.3.015. Find all six trigonometric functions of θ if the given point is on the terminal side of θ. (Assume that a is a positive number. If an answer is undefined, enter UNDEFINED.) (−12a, −5a) $$−513 sin θ = $$−1213 cos θ = $$512 tan θ = $$−135 csc θ = $$−1312 sec θ = $$125cot θ = http://www.webassign.net/web/Student/Assignment­Responses/last?dep=15666731 4/12 2/4/2017 Section 1.3 7. 3/3 points | Previous AnswersMcKTrig7 1.3.017. In the following diagram, angle θ is in standard position. In each case, find sin θ, cos θ, and tan θ. $$35 sin θ = $$45 cos θ = $$34tan θ = http://www.webassign.net/web/Student/Assignment­Responses/last?dep=15666731 5/12 2/4/2017 Section 1.3 8. 3/3 points | Previous AnswersMcKTrig7 1.3.019. In the following diagram, angle θ is in standard position. In each case, find sin θ, cos θ, and tan θ. $$7√113113 sin θ = $$−8√113113 cos θ = $$−78tan θ = http://www.webassign.net/web/Student/Assignment­Responses/last?dep=15666731 6/12 2/4/2017 Section 1.3 9. 5/5 points | Previous AnswersMcKTrig7 1.3.023. Draw the following angle in standard position. 135° Find a point on the terminal side. (x, y) = $$−1,1http://www.webassign.net/web/Student/Assignment­Responses/last?dep=15666731 7/12 2/4/2017 Section 1.3 Find the sine, cosine, and tangent of the angle. $$1√2 sin 135° = $$−1√2 cos 135° = $$−1tan 135° = http://www.webassign.net/web/Student/Assignment­Responses/last?dep=15666731 8/12 2/4/2017 Section 1.3 10.5/5 points | Previous AnswersMcKTrig7 1.3.026. Draw the following angle in standard position. 180° Find a point on the terminal side. (x, y) = $$−1,0http://www.webassign.net/web/Student/Assignment­Responses/last?dep=15666731 9/12 2/4/2017 Section 1.3 Find the sine, cosine, and tangent of the angle. $$0 sin 180° = $$−1 cos 180° = $$0 tan 180° = 11.1/1 points | Previous AnswersMcKTrig7 1.3.031. Determine whether the statement is true or false. cos 5° < cos 15° True False12.1/1 points | Previous AnswersMcKTrig7 1.3.039. Use Definition I and the figure below to answer the following. As θ increases from 0° to 90°, the value of sin θ tends toward what number? 1 http://www.webassign.net/web/Student/Assignment­Responses/last?dep=15666731 10/12 2/4/2017 Section 1.3 13.1/1 points | Previous AnswersMcKTrig7 1.3.043. Indicate the two quadrants θ could terminate in given the value of the trigonometric function. (Select all that apply.) sin θ =513 quadrant I quadrant II quadrant III quadrant IV 14.1/1 points | Previous AnswersMcKTrig7 1.3.047. Indicate the two quadrants θ could terminate in given the value of the trigonometric function. (Select all that apply.) tan θ =43 quadrant I quadrant II quadrant III quadrant IVhttp://www.webassign.net/web/Student/Assignment­Responses/last?dep=15666731 11/12 2/4/2017 Section 1.3 15.5/5 points | Previous AnswersMcKTrig7 1.3.055. Find the remaining trigonometric functions of θ based on the given information. 3 sin θ = and θ terminates in QI 5$$45 cos θ = $$34 tan θ = $$53 csc θ = $$54 sec θ = $$43 cot θ = http://www.webassign.net/web/Student/Assignment­Responses/last?dep=15666731 12/12 1/26/2017 Section 2.1 WebAssign Section 2.1 (Homework) Current Score : 34 / 34 Due : Friday, January 27 2017 02:00 PM CST 1. 1/1 points | Previous AnswersMcKTrig7 2.1.003. Fill in the blank with the appropriate word. Sonika Shrestha MATH 113, section 03, Spring 2017 Instructor: Sheng Qu A trigonometric function of an angle is always equal to the cofunction of the complement of the angle. 2. 3/3 points | Previous AnswersMcKTrig7 2.1.004. Match each trigonometric function with its cofunction. (a) sine cotangent cosine cosecant (b) secant cotangent cosine cosecant (c) tangent cotangent cosine cosecanthttp://www.webassign.net/web/Student/Assignment­Responses/last?dep=15691480 1/9 1/26/2017 Section 2.1 3. 6/6 points | Previous AnswersMcKTrig7 2.1.005. The following problem refers to right triangle ABC with C = 90°. Use the given information to find the six trigonometric functions of A. b = 8, c = 17 1517 sin A = 817 cos A = 158 tan A = 1715 csc A = 178 sec A = 815cot A = http://www.webassign.net/web/Student/Assignment­Responses/last?dep=15691480 2/9 1/26/2017 Section 2.1 4. 6/6 points | Previous AnswersMcKTrig7 2.1.007. The following problem refers to right triangle ABC with C = 90°. Use the given information to find the six trigonometric functions of A. a = 2, b = 1 2√55 sin A = √55 cos A = 2 tan A = √52 csc A = √5 sec A = 12cot A = http://www.webassign.net/web/Student/Assignment­Responses/last?dep=15691480 3/9 1/26/2017 Section 2.1 5. 4/4 points | Previous AnswersMcKTrig7 2.1.019. In the diagram below, angle A is in standard position. Find the coordinates of point B and then find sin A, cos A, and tan A. (xB, yB) = 4,3sin A = 3/5 cos A = 4/5 tan A = 3/4 http://www.webassign.net/web/Student/Assignment­Responses/last?dep=15691480 4/9 1/26/2017 Section 2.1 6. 1/1 points | Previous AnswersMcKTrig7 2.1.021. Use Definition II to explain why, for any acute angle θ, it is impossible for cos θ = 4. To have cos θ = 4, the opposite side would have to be four times larger than the hypotenuse. This is impossible since the hypotenuse is the longest side of a triangle. To have cos θ = 4, the hypotenuse would have to be four times larger than the adjacent side. This is impossible since the adjacent side is the longest side of a triangle. To have cos θ = 4, the adjacent side would have to be four times larger than the hypotenuse. This is impossible since the hypotenuse is the longest side of a triangle. To have cos θ = 4, the adjacent side would have to be four times larger than the opposite side. This is impossible since the opposite side is always longer than the adjacent side. To have cos θ = 4, the opposite side would have to be four times larger than the adjacent side. This is impossible since the adjacent side is always longer than the opposite side.7. 1/1 points | Previous AnswersMcKTrig7 2.1.025. Use the Cofunction Theorem to fill in the blank so that the expression becomes a true statement. sin 10° = cos 80 ° 8. 1/1 points | Previous AnswersMcKTrig7 2.1.027. Use the Cofunction Theorem to fill in the blank so that the expression becomes a true statement. tan 49° = cot 41 ° http://www.webassign.net/web/Student/Assignment­Responses/last?dep=15691480 5/9 1/26/2017 Section 2.1 9. 1/1 points | Previous AnswersMcKTrig7 2.1.030. Use the Cofunction Theorem to fill in the blank so that the expression becomes a true statement. cos y° = sin 90−y ° 10.1/1 points | Previous AnswersMcKTrig7 2.1.035. Simplify the expression by first substituting values from the table of exact values and then simplifying the resulting expression. 4 sin 30° 2 11.1/1 points | Previous AnswersMcKTrig7 2.1.037. Simplify the expression by first substituting values from the table of exact values and then simplifying the resulting expression. (8 cos 30°)248 http://www.webassign.net/web/Student/Assignment­Responses/last?dep=15691480 6/9 1/26/2017 Section 2.1 12.1/1 points | Previous AnswersMcKTrig7 2.1.039. Simplify the expression by first substituting values from the table of exact values and then simplifying the resulting expression. sin2 30° + cos2 30° 1 13.1/1 points | Previous AnswersMcKTrig7 2.1.041. Simplify the expression by first substituting values from the table of exact values and then simplifying the resulting expression. 3(sin2 90° − 2 sin 90° cos 90° + cos2 90°)3 14.1/1 points | Previous AnswersMcKTrig7 2.1.045. For the expression that follows, replace x with 30° and then simplify as much as possible. 2 sin x 1 http://www.webassign.net/web/Student/Assignment­Responses/last?dep=15691480 7/9 1/26/2017 Section 2.1 15.1/1 points | Previous AnswersMcKTrig7 2.1.047. For the expression that follows, replace z with 90° and then simplify as much as possible. 8 cos(z − 30°) 4 16.1/1 points | Previous AnswersMcKTrig7 2.1.058. Find the exact value. cot 30° √3 17.1/1 points | Previous AnswersMcKTrig7 2.1.059. Find the exact value. sec 45°√2 http://www.webassign.net/web/Student/Assignment­Responses/last?dep=15691480 8/9 1/26/2017 Section 2.1 18.1/1 points | Previous AnswersMcKTrig7 2.1.080. According to the Cofunction Theorem, which value is equal to cos 85° cos 5° csc 5° csc 75° 19.1/1 points | Previous AnswersMcKTrig7 2.1.081. Which of the following statements is false? 2 cos 45° = 2 sin 60° =12 cos 0° = 1 sin 90° = 1sin 85°? http://www.webassign.net/web/Student/Assignment­Responses/last?dep=15691480 9/9

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