Trigonometryhard · Past Paper
If m = tan θ + sin θ and n = tan θ - sin θ, find m² - n².
A4 sqrt(mn)
Bsqrt(mn)
C2 sqrt(mn)
D4mn
✓ Correct Answer: A — 4 sqrt(mn)
m²-n² = 4 tan θ sin θ. Also sqrt(mn) = sqrt(tan²-sin²) = tan θ sin θ. So 4 sqrt(mn).
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