1. The point (3/2, 3/2) lies on a circle centered at the origin. a. What is the radius of the circle? Show your work. b. What is the equation of the circle? c. Draw the reference triangle for the angle O which has terminal side intersecting the circle in this point, labeling the side lengths. d. Find the (exact, not approximate) values of the six trigonometric functions for 0. e. What is 0? Express it in both degrees and radians, and explain how you know. f. Find all of the angles within [-2x, 2n) which have the same cotangent as 0. Illustrate on the circle. What are the angles in degrees?

1. The point (3/2, 3/2) lies on a circle centered at the origin. a. What is the radius of the circle? Show your work. b. What is the equation of the circle? c. Draw the reference triangle for the angle O which has terminal side intersecting the circle in this point, labeling the side lengths. d. Find the (exact, not approximate) values of the six trigonometric functions for 0. e. What is 0? Express it in both degrees and radians, and explain how you know. f. Find all of the angles within [-2x, 2n) which have the same cotangent as 0. Illustrate on the circle. What are the angles in degrees?

Trigonometry (MindTap Course List)

8th Edition

ISBN:9781305652224

Author:Charles P. McKeague, Mark D. Turner

Publisher:Charles P. McKeague, Mark D. Turner

Chapter3: Radian Measure

Section3.3: Definition Iii: Circular Functions

Problem 102PS: The diagram of the unit circle shown in Figure 15 can be found on the Internet encyclopedia,...

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