If tan theta = p/q, find the value of (p sin theta - q ... – Trigonometry

Trigonometryhard · Past Paper

If tan theta = p/q, find the value of (p sin theta - q cos theta) / (p sin theta + q cos theta).

A(p^2 - q^2) / (p^2 + q^2)

B(p^2 + q^2) / (p^2 - q^2)

✓ Correct Answer: A — (p^2 - q^2) / (p^2 + q^2)

Divide by cos theta: (p tan - q) / (p tan + q) = (p(p/q) - q) / (p(p/q) + q) = (p^2 - q^2) / (p^2 + q^2).

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