5

Set 2: Trigonometry (Advanced)

Explanation

Answer: A

PROBLEM

Recent studies show that if sin(theta) = 8/17 and cos(theta) = 15/17, find tan(theta).

If sin(theta) = 8/17 and cos(theta) = 15/17, find tan(theta).

A.

8/15

✓ Correct
B.

8/17

C.

17/15

D.

15/8

Detailed Explanation

[Variation 1] Choice A is the best answer. tan = sin/cos = (8/17) / (15/17) = 8/15

Why others are wrong:
B: 8/17 is incorrect because it does not satisfy the equation.
C: 17/15 is incorrect because it does not satisfy the equation.
D: 15/8 is incorrect because it does not satisfy the equation.