53
QuizMultiple Choice

Trigonometric Functions — Test

Question 53 • Algebra II

The terminal side of an angle in standard position passes through cap p times open paren 15 comma negative 8 close paren What is the value of sine theta ?

Answer
A
sine theta is equal to negative 8 over 17
B
sine theta is equal to 8 over 17
C
sine theta is equal to 15 over 17
D
sine theta is equal to negative 15 over 17

Explanation

For a point (x, y) on the terminal side, sin θ = y/r, where r = √(x² + y²). Here, r = √(15² + (−8)²) = √289 = 17, so sin θ = −8/17. The correct choice is “sine theta is equal to negative 8 over 17.”

AI-written and checked against the verified answer.

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