Trigonometry MATH 1060
Utah State University
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This 3 page Study Guide was uploaded by Darren Schulist on Wednesday October 28, 2015. The Study Guide belongs to MATH 1060 at Utah State University taught by Staff in Fall. Since its upload, it has received 41 views. For similar materials see /class/230421/math-1060-utah-state-university in Mathematics (M) at Utah State University.
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Date Created: 10/28/15
Evaluating Trigonometric Functions If we have any angle7 9 in standard position with a point my on the terminal side oft9 and r 412 y2 gt 07 then use the following de nitions to evaluate the six trigonometric functions I sm 0 g cos B 7 7 7 tanHg7 10 cotl9 7 y9 0 I y secl9T7 10 cscl97 y9 0 I y The following gure shows us the quadrants and will also help us to evaluate the functions Quadrant II Quadrant I sin a sin 209 7 2059 tans 7 cans Quadrant III Quadrant IV sin 7 7 209 7 2059 tans tans 7 Problem 8 Determine the value of the six trigonometric functions of 0 y 2x 5 6 lies in quadrant l Solution Step 1 First7 nd a point on the line Choose a value for x that will be in quadrant ll and solve for y You will get 17 7 You may get a different point This is okay7 as the nal answers will be equivalent It is just easier to use l s whenever we can Evaluating Trigonometric Functions If we have any angle7 9 in standard position with a point my on the terminal side oft9 and T 12 y2 gt 07 then use the following de nitions to evaluate the six trigonometric functions I sin 0 g cos B 7 T T I tanH 7 10 cotl977 y9 0 I y secH 10 cscl97 y9 0 I y The following gure shows us the quadrants and will also help us to evaluate the functions QuadTant II QuadTant I sin sin 209 7 2059 tans 7 cans Quadmnt III QuadTant IV sin 7 sin 7 209 7 2059 tans tans 7 Problem 6 Determine the value of the six trigonometric functions of 0 csct9 V10 cos0 gt 0 Solution Step 1 T Find the value of x Since csct9 77 you will get 9 z3 Tangent and Cotangent Graphs Problem 3 Find the period of the following function and then graph it fx 3 tan3x Solution The period is The graph with three periods looks like
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