If 5 tan θ = 4, then (5 sin θ - 3 cos θ) / (5 sin θ + 2... – Trigonometry

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

✓ 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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