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)
C0
D1
✓ 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).
Share this question