5
Answer: ASet 2: Trigonometry (Advanced)
Explanation
PROBLEM
Recent studies show that if sin(theta) = 8/17 and cos(theta) = 15/17, find tan(theta).
If sin(theta) = 8/17 and cos(theta) = 15/17, find tan(theta).
A.✓ Correct
8/15
B.
8/17
C.
17/15
D.
15/8
Detailed Explanation
[Variation 1] Choice A is the best answer. tan = sin/cos = (8/17) / (15/17) = 8/15
Why others are wrong:
B: 8/17 is incorrect because it does not satisfy the equation.
C: 17/15 is incorrect because it does not satisfy the equation.
D: 15/8 is incorrect because it does not satisfy the equation.