Set 2: Trigonometry (Advanced)

**Choice D is the best answer.** tan = sin/cos = (5/13) / (12/13) = 5/12

Explanation

Answer: D

PROBLEM

If sin(theta) = 5/13 and cos(theta) = 12/13, find tan(theta).

12/5

13/12

5/13

5/12

✓ Correct

Detailed Explanation

Choice D is the best answer. tan = sin/cos = (5/13) / (12/13) = 5/12

Why others are wrong:

A: 12/5 is incorrect because it does not satisfy the equation.

B: 13/12 is incorrect because it does not satisfy the equation.

C: 5/13 is incorrect because it does not satisfy the equation.