9

Set 2: Trigonometry (Advanced)

Explanation

Answer: B

PROBLEM

If sin(theta) = 3/5 and cos(theta) = 4/5, find tan(theta).

If sin(theta) = 3/5 and cos(theta) = 4/5, find tan(theta).

A.

3/5

B.

3/4

✓ Correct
C.

5/4

D.

4/3

Detailed Explanation

Choice B is the best answer. tan = sin/cos = (3/5) / (4/5) = 3/4

Why others are wrong:
A: 3/5 is incorrect because it does not satisfy the equation.
C: 5/4 is incorrect because it does not satisfy the equation.
D: 4/3 is incorrect because it does not satisfy the equation.