Trigonometrymedium · Past Paper
If 5 tan θ = 4, then (5 sin θ - 3 cos θ) / (5 sin θ + 2 cos θ) is equal to:
A1/6
B1/4
C2/3
D0
✓ Correct Answer: A — 1/6
Divide numerator and denominator by cos θ to get (5 tan θ - 3)/(5 tan θ + 2). Substitute tan θ = 4/5: (4-3)/(4+2) = 1/6.
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