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.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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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