Set 3: Trigonometry (Advanced)

[Variation 2] **Choice C is the best answer.** tan = sin/cos = (8/17) / (15/17) = 8/15

Explanation

Answer: C

PROBLEM

Intriguingly, 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).

15/8

8/17

8/15

✓ Correct

17/15

Detailed Explanation

[Variation 2] Choice C is the best answer. tan = sin/cos = (8/17) / (15/17) = 8/15

Why others are wrong:

A: 15/8 is incorrect because it does not satisfy the equation.

B: 8/17 is incorrect because it does not satisfy the equation.

D: 17/15 is incorrect because it does not satisfy the equation.