Set 3: Trigonometry (Advanced)

[Variation 1] **Choice C is the best answer.** tan = sin/cos = (5/13) / (12/13) = 5/12

Explanation

Answer: C

PROBLEM

Recent studies show that if sin(theta) = 5/13 and cos(theta) = 12/13, find tan(theta).

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

12/5

5/13

5/12

✓ Correct

13/12

Detailed Explanation

[Variation 1] Choice C 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: 5/13 is incorrect because it does not satisfy the equation.

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

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