Suppose θ is an angle which has terminal side intersecting a circle (centered at the origin) at the point (−4,5)(−4,5).  What is the radius of the circle? Show your work. What is the equation of the circle? What Quadrant is θ in? Without finding the value of the angle θ, find the (exact, not approximate) values of all six trigonometric functions for θ.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Trigonometry
Section: Chapter Questions
Problem 4T: Take this test as you would take a test in class. When you are finished, check your work against the...
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  1. Suppose θ is an angle which has terminal side intersecting a circle (centered at the origin) at the point (−4,5)(−4,5). 
    1. What is the radius of the circle? Show your work.
    2. What is the equation of the circle?
    3. What Quadrant is θ in?
    4. Without finding the value of the angle θ, find the (exact, not approximate) values of all six trigonometric functions for θ.
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