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
More from Trigonometry
- From the top of a 7 m high building, the angle of elevation of the top of a cable tower is 60° and the angle of depression of its foot is 45°. Find the tower height.
- If sin (A - B) = 1/2 and cos (A + B) = 1/2, find A and B.
- The height of a tower is 50 m. If the angle of elevation is 45°, what is the shadow length?
- In a right triangle, if sin theta = a/b, then cos theta is:
- Evaluate: 5 sin^2 30 + cos^2 45 - 4 tan^2 30