Trigonometryhard · Past Paper
If sec theta + tan theta = p, find the value of cosec theta.
A(p^2 + 1) / (p^2 - 1)
B(p^2 - 1) / (p^2 + 1)
C2p / (p^2 + 1)
D2p / (p^2 - 1)
✓ Correct Answer: A — (p^2 + 1) / (p^2 - 1)
From sec + tan = p, we get sin = (p^2-1)/(p^2+1). Cosec is the reciprocal: (p^2+1)/(p^2-1).
Share this question
More from Trigonometry
- What is 1 - 2 sin^2(22.5) equal to?
- Simplify: sin(A+B)sin(A-B).
- From a point P on the ground, the angle of elevation of the top of a 10 m tall building is 30°. A flag is hoisted at the top. The angle of elevation of the top of the flag is 45°. Find the length of the flag.
- If tan A + tan B + tan C = tan A tan B tan C, what can be said about A + B + C?
- What is the maximum value of 1/cosec theta?