Trigonometryhard · Past Paper

If 5 sin θ = 3, find the value of (sec θ - tan θ) / (sec θ + tan θ).

A1/4
B1/2
C4
D2

✓ Correct Answer: A1/4

sin θ = 3/5, so b=4, h=5. sec=5/4, tan=3/4. (5/4-3/4)/(5/4+3/4) = (2/4)/(8/4) = 2/8 = 1/4.

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