7

Set 2: Trigonometry (Advanced)

Explanation

Answer: B

PROBLEM

Recent studies show that if sin(theta) = 6/10 and cos(theta) = 8/10, find tan(theta).

If sin(theta) = 6/10 and cos(theta) = 8/10, find tan(theta).

A.

6/10

B.

6/8

✓ Correct
C.

10/8

D.

8/6

Detailed Explanation

[Variation 1] Choice B is the best answer. tan = sin/cos = (6/10) / (8/10) = 6/8

Why others are wrong:
A: 6/10 is incorrect because it does not satisfy the equation.
C: 10/8 is incorrect because it does not satisfy the equation.
D: 8/6 is incorrect because it does not satisfy the equation.