If tan(theta) = 4/3, find the value of (3 sin(theta) + 2 cos(theta)) / (3 sin(theta) – 2 cos(theta)).
A2
B3
C4
D5
Explanation
Divide numerator and denominator by cos(theta): (3 tan(theta) + 2) / (3 tan(theta) – 2) = (3(4/3) + 2) / (3(4/3) – 2) = (4 + 2) / (4 – 2) = 6 / 2 = 3.
Exam Relevance
- Topic: Trigonometry
- Subtopic: Ratios
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