Set 3: Trigonometry (Advanced)

[Variation 1] **Choice C is the best answer.** tan = sin/cos = (3/5) / (4/5) = 3/4

Explanation

Answer: C

PROBLEM

Recent studies show that 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).

4/3

3/5

3/4

✓ Correct

5/4

Detailed Explanation

[Variation 1] Choice C is the best answer. tan = sin/cos = (3/5) / (4/5) = 3/4

Why others are wrong:

A: 4/3 is incorrect because it does not satisfy the equation.

B: 3/5 is incorrect because it does not satisfy the equation.

D: 5/4 is incorrect because it does not satisfy the equation.