 4.1: In Exercises 1 and 2,estimate the angle to the nearest onehalf rad...
 4.151: Consider an angle that measures radians. (a) Sketch the angle in st...
 4.171: The restaurant at the top of the Space Needle in Seattle, Washingto...
 4.2: In Exercises 1 and 2,estimate the angle to the nearest onehalf rad...
 4.152: A truck is moving at a rate of 90 kilometers per hour, and the diam...
 4.172: A bicycles gear ratio is the number of times the freewheel turns fo...
 4.3: In Exercises 310, (a) sketch the angle in standard position, (b) de...
 4.153: A water sprinkler sprays water on a lawn over a distance of 25 feet...
 4.173: A surveyor in a helicopter is trying to determine the width of an i...
 4.4: In Exercises 310, (a) sketch the angle in standard position, (b) de...
 4.154: Find the exact values of the six trigonometric functions of the ang...
 4.174: Use the figure below. (a) Explain why are similar triangles. (b) Wh...
 4.5: In Exercises 310, (a) sketch the angle in standard position, (b) de...
 4.155: Given that find the other five trigonometric functions of
 4.175: Use a graphing utility to graph and use the graph to decide whether...
 4.6: In Exercises 310, (a) sketch the angle in standard position, (b) de...
 4.156: Determine the reference angle of the angle and sketch and in standa...
 4.176: If is an even function and is an odd function, use the results of E...
 4.7: In Exercises 310, (a) sketch the angle in standard position, (b) de...
 4.157: Determine the quadrant in which lies if and
 4.177: The model for the height (in feet) of a Ferris wheel car is where i...
 4.8: In Exercises 310, (a) sketch the angle in standard position, (b) de...
 4.158: Find two exact values of in degrees if (Do not use a calculator.)
 4.178: The pressure (in millimeters of mercury) against the walls of the b...
 4.9: In Exercises 310, (a) sketch the angle in standard position, (b) de...
 4.159: Use a calculator to approximate two values of in radians if Round t...
 4.179: A popular theory that attempts to explain the ups and downs of ever...
 4.10: In Exercises 310, (a) sketch the angle in standard position, (b) de...
 4.160: In Exercises 10 and 11, find the remaining five trigonometric funct...
 4.180: (a) Use a graphing utility to graph the functions given by and (b) ...
 4.11: In Exercises 1114, convert the angle measure from degrees to radian...
 4.161: In Exercises 10 and 11, find the remaining five trigonometric funct...
 4.181: Two trigonometric functions and have periods of 2, and their graphs...
 4.12: In Exercises 1114, convert the angle measure from degrees to radian...
 4.162: In Exercises 12 and 13, sketch the graph of the function. (Include ...
 4.182: The function is periodic, with period So, Are the following equal? ...
 4.13: In Exercises 1114, convert the angle measure from degrees to radian...
 4.163: In Exercises 12 and 13, sketch the graph of the function. (Include ...
 4.183: If you stand in shallow water and look at an object below the surfa...
 4.14: In Exercises 1114, convert the angle measure from degrees to radian...
 4.164: In Exercises 14 and 15, use a graphing utility to graph the functio...
 4.184: In calculus, it can be shown that the arctangent function can be ap...
 4.15: In Exercises 1518, convert the angle measure from radians to degree...
 4.165: In Exercises 14 and 15, use a graphing utility to graph the functio...
 4.16: In Exercises 1518, convert the angle measure from radians to degree...
 4.166: Find and for the function such that the graph of matches the figure.
 4.17: In Exercises 1518, convert the angle measure from radians to degree...
 4.167: Find the exact value of without the aid of a calculator.
 4.18: In Exercises 1518, convert the angle measure from radians to degree...
 4.168: Graph the function
 4.19: Arc Length Find the length of the arc on a circle with a radius of ...
 4.169: A plane is 80 miles south and 95 miles east of Cleveland Hopkins In...
 4.20: Arc Length Find the length of the arc on a circle with a radius of ...
 4.170: Write the equation for the simple harmonic motion of a ball on a sp...
 4.21: Phonograph Compact discs have all but replaced phonograph records. ...
 4.22: Bicycle At what speed is a bicyclist traveling when his 27inchdia...
 4.23: Circular Sector Find the area of the sector of a circle with a radi...
 4.24: Circular Sector Find the area of the sector of a circle with a radi...
 4.25: In Exercises 2528, find the point on the unit circle that correspon...
 4.26: In Exercises 2528, find the point on the unit circle that correspon...
 4.27: In Exercises 2528, find the point on the unit circle that correspon...
 4.28: In Exercises 2528, find the point on the unit circle that correspon...
 4.29: In Exercises 2932, evaluate (if possible) the six trigonometric fun...
 4.30: In Exercises 2932, evaluate (if possible) the six trigonometric fun...
 4.31: In Exercises 2932, evaluate (if possible) the six trigonometric fun...
 4.32: In Exercises 2932, evaluate (if possible) the six trigonometric fun...
 4.33: In Exercises 3336, evaluate the trigonometric function using its pe...
 4.34: In Exercises 3336, evaluate the trigonometric function using its pe...
 4.35: In Exercises 3336, evaluate the trigonometric function using its pe...
 4.36: In Exercises 3336, evaluate the trigonometric function using its pe...
 4.37: In Exercises 3740, use a calculator to evaluate the trigonometric f...
 4.38: In Exercises 3740, use a calculator to evaluate the trigonometric f...
 4.39: In Exercises 3740, use a calculator to evaluate the trigonometric f...
 4.40: In Exercises 3740, use a calculator to evaluate the trigonometric f...
 4.41: In Exercises 4144, find the exact values of the six trigonometric f...
 4.42: In Exercises 4144, find the exact values of the six trigonometric f...
 4.43: In Exercises 4144, find the exact values of the six trigonometric f...
 4.44: In Exercises 4144, find the exact values of the six trigonometric f...
 4.45: In Exercises 45 48, use the given function value and trigonometric ...
 4.46: In Exercises 45 48, use the given function value and trigonometric ...
 4.47: In Exercises 45 48, use the given function value and trigonometric ...
 4.48: In Exercises 45 48, use the given function value and trigonometric ...
 4.49: In Exercises 4954, use a calculator to evaluate the trigonometric f...
 4.50: In Exercises 4954, use a calculator to evaluate the trigonometric f...
 4.51: In Exercises 4954, use a calculator to evaluate the trigonometric f...
 4.52: In Exercises 4954, use a calculator to evaluate the trigonometric f...
 4.53: In Exercises 4954, use a calculator to evaluate the trigonometric f...
 4.54: In Exercises 4954, use a calculator to evaluate the trigonometric f...
 4.55: Railroad Grade A train travels 3.5 kilometers on a straight track w...
 4.56: Guy Wire A guy wire runs from the ground to the top of a 25foot te...
 4.57: In Exercises 5764, the point is on the terminal side of an angle in...
 4.58: In Exercises 5764, the point is on the terminal side of an angle in...
 4.59: In Exercises 5764, the point is on the terminal side of an angle in...
 4.60: In Exercises 5764, the point is on the terminal side of an angle in...
 4.61: In Exercises 5764, the point is on the terminal side of an angle in...
 4.62: In Exercises 5764, the point is on the terminal side of an angle in...
 4.63: In Exercises 5764, the point is on the terminal side of an angle in...
 4.64: In Exercises 5764, the point is on the terminal side of an angle in...
 4.65: In Exercises 6570, find the values of the six trigonometric functio...
 4.66: In Exercises 6570, find the values of the six trigonometric functio...
 4.67: In Exercises 6570, find the values of the six trigonometric functio...
 4.68: In Exercises 6570, find the values of the six trigonometric functio...
 4.69: In Exercises 6570, find the values of the six trigonometric functio...
 4.70: In Exercises 6570, find the values of the six trigonometric functio...
 4.71: In Exercises 7174, find the reference angle and sketch and in stand...
 4.72: In Exercises 7174, find the reference angle and sketch and in stand...
 4.73: In Exercises 7174, find the reference angle and sketch and in stand...
 4.74: In Exercises 7174, find the reference angle and sketch and in stand...
 4.75: In Exercises 7582, evaluate the sine, cosine, and tangent of the an...
 4.76: In Exercises 7582, evaluate the sine, cosine, and tangent of the an...
 4.77: In Exercises 7582, evaluate the sine, cosine, and tangent of the an...
 4.78: In Exercises 7582, evaluate the sine, cosine, and tangent of the an...
 4.79: In Exercises 7582, evaluate the sine, cosine, and tangent of the an...
 4.80: In Exercises 7582, evaluate the sine, cosine, and tangent of the an...
 4.81: In Exercises 7582, evaluate the sine, cosine, and tangent of the an...
 4.82: In Exercises 7582, evaluate the sine, cosine, and tangent of the an...
 4.83: In Exercises 8388, use a calculator to evaluate the trigonometric f...
 4.84: In Exercises 8388, use a calculator to evaluate the trigonometric f...
 4.85: In Exercises 8388, use a calculator to evaluate the trigonometric f...
 4.86: In Exercises 8388, use a calculator to evaluate the trigonometric f...
 4.87: In Exercises 8388, use a calculator to evaluate the trigonometric f...
 4.88: In Exercises 8388, use a calculator to evaluate the trigonometric f...
 4.89: In Exercises 8996, sketch the graph of the function. Include two fu...
 4.90: In Exercises 8996, sketch the graph of the function. Include two fu...
 4.91: In Exercises 8996, sketch the graph of the function. Include two fu...
 4.92: In Exercises 8996, sketch the graph of the function. Include two fu...
 4.93: In Exercises 8996, sketch the graph of the function. Include two fu...
 4.94: In Exercises 8996, sketch the graph of the function. Include two fu...
 4.95: In Exercises 8996, sketch the graph of the function. Include two fu...
 4.96: In Exercises 8996, sketch the graph of the function. Include two fu...
 4.97: Sound Waves Sound waves can be modeled by sine functions of the for...
 4.98: Data Analysis: Meteorology The times of sunset (Greenwich Mean Time...
 4.99: In Exercises 99106, sketch a graph of the function. Include two ful...
 4.100: In Exercises 99106, sketch a graph of the function. Include two ful...
 4.101: In Exercises 99106, sketch a graph of the function. Include two ful...
 4.102: In Exercises 99106, sketch a graph of the function. Include two ful...
 4.103: In Exercises 99106, sketch a graph of the function. Include two ful...
 4.104: In Exercises 99106, sketch a graph of the function. Include two ful...
 4.105: In Exercises 99106, sketch a graph of the function. Include two ful...
 4.106: In Exercises 99106, sketch a graph of the function. Include two ful...
 4.107: In Exercises 107 and 108, use a graphing utility to graph the funct...
 4.108: In Exercises 107 and 108, use a graphing utility to graph the funct...
 4.109: In Exercises 109114, evaluate the expression. If necessary, round y...
 4.110: In Exercises 109114, evaluate the expression. If necessary, round y...
 4.111: In Exercises 109114, evaluate the expression. If necessary, round y...
 4.112: In Exercises 109114, evaluate the expression. If necessary, round y...
 4.113: In Exercises 109114, evaluate the expression. If necessary, round y...
 4.114: In Exercises 109114, evaluate the expression. If necessary, round y...
 4.115: In Exercises 115118, evaluate the expression without the aid of a c...
 4.116: In Exercises 115118, evaluate the expression without the aid of a c...
 4.117: In Exercises 115118, evaluate the expression without the aid of a c...
 4.118: In Exercises 115118, evaluate the expression without the aid of a c...
 4.119: In Exercises 119122, use a calculator to evaluate the expression. R...
 4.120: In Exercises 119122, use a calculator to evaluate the expression. R...
 4.121: In Exercises 119122, use a calculator to evaluate the expression. R...
 4.122: In Exercises 119122, use a calculator to evaluate the expression. R...
 4.123: In Exercises 123126, use a graphing utility to graph the function.
 4.124: In Exercises 123126, use a graphing utility to graph the function.
 4.125: In Exercises 123126, use a graphing utility to graph the function.
 4.126: In Exercises 123126, use a graphing utility to graph the function.
 4.127: In Exercises 127130, find the exact value of the expression.
 4.128: In Exercises 127130, find the exact value of the expression.
 4.129: In Exercises 127130, find the exact value of the expression.
 4.130: In Exercises 127130, find the exact value of the expression.
 4.131: In Exercises 131 and 132, write an algebraic expression that is equ...
 4.132: In Exercises 131 and 132, write an algebraic expression that is equ...
 4.133: Angle of Elevation The height of a radio transmission tower is 70 m...
 4.134: Height Your football has landed at the edge of the roof of your sch...
 4.135: Distance From city to city a plane flies 650 miles at a bearing of ...
 4.136: Wave Motion Your fishing bobber oscillates in simple harmonic motio...
 4.137: The tangent function is often useful for modeling simple harmonic m...
 4.138: The inverse sine function arcsin cannot be defined as a function ov...
 4.139: is not a function because 14
 4.140: Because tan 14
 4.141: In Exercises 141144, match the function with its graph. Base your s...
 4.142: In Exercises 141144, match the function with its graph. Base your s...
 4.143: In Exercises 141144, match the function with its graph. Base your s...
 4.144: In Exercises 141144, match the function with its graph. Base your s...
 4.145: Writing Describe the behavior of at the zeros of Explain your reaso...
 4.146: Conjecture (a) Use a graphing utility to complete the table. (b) Ma...
 4.147: Writing When graphing the sine and cosine functions, determining th...
 4.148: Oscillation of a Spring A weight is suspended from a ceiling by a s...
 4.149: Graphical Reasoning The formulas for the area of a circular sector ...
 4.150: Writing Describe a reallife application that can be represented by...
Solutions for Chapter 4: Trigonometry
Full solutions for Precalculus  7th Edition
ISBN: 9780618643448
Solutions for Chapter 4: Trigonometry
Get Full SolutionsChapter 4: Trigonometry includes 184 full stepbystep solutions. Since 184 problems in chapter 4: Trigonometry have been answered, more than 37496 students have viewed full stepbystep solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Precalculus, edition: 7. Precalculus was written by and is associated to the ISBN: 9780618643448.

Basic logistic function
The function ƒ(x) = 1 / 1 + ex

Control
The principle of experimental design that makes it possible to rule out other factors when making inferences about a particular explanatory variable

Descriptive statistics
The gathering and processing of numerical information

Directrix of a parabola, ellipse, or hyperbola
A line used to determine the conic

Factored form
The left side of u(v + w) = uv + uw.

Infinite sequence
A function whose domain is the set of all natural numbers.

Integers
The numbers . . ., 3, 2, 1, 0,1,2,...2

Limit at infinity
limx: qƒ1x2 = L means that ƒ1x2 gets arbitrarily close to L as x gets arbitrarily large; lim x: q ƒ1x2 means that gets arbitrarily close to L as gets arbitrarily large

Linear equation in x
An equation that can be written in the form ax + b = 0, where a and b are real numbers and a Z 0

Midpoint (in a coordinate plane)
For the line segment with endpoints (a,b) and (c,d), (aa + c2 ,b + d2)

Multiplication principle of counting
A principle used to find the number of ways an event can occur.

nset
A set of n objects.

Pythagorean
Theorem In a right triangle with sides a and b and hypotenuse c, c2 = a2 + b2

Quadric surface
The graph in three dimensions of a seconddegree equation in three variables.

Random behavior
Behavior that is determined only by the laws of probability.

Real number
Any number that can be written as a decimal.

Relation
A set of ordered pairs of real numbers.

Resistant measure
A statistical measure that does not change much in response to outliers.

Unit vector in the direction of a vector
A unit vector that has the same direction as the given vector.

Vertices of an ellipse
The points where the ellipse intersects its focal axis.