Three trigonometric functions for a given angle are shown. sine theta is equal to negative 77 over 85 , cosine theta is equal to 36 over 85 , tangent theta is equal to negative 77 over 36 What are the coordinates of point open paren x comma y close paren on the terminal ray of angle theta , assuming that the values above were not simplified?
Answer
A
open paren negative 77 comma 36 close paren
B
open paren negative 36 comma 77 close paren
C
open paren 36 comma negative 77 close paren
D
open paren negative 77 comma negative 36 close paren
Explanation
For a point (x, y) on the terminal ray, sin θ = y/r and cos θ = x/r. The given ratios show y/r = −77/85 and x/r = 36/85, so with r = 85 the coordinates are (36, −77). This matches choice C, (36, −77).
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