Trigonometryhard · Past Paper
If sin x + cosec x = 2, then sin^2 x + cosec^2 x = ?
A2
B4
C1
D0
✓ Correct Answer: A — 2
Squaring both sides: sin^2 x + cosec^2 x + 2(sin x)(cosec x) = 4 => sin^2 x + cosec^2 x + 2 = 4 => 2.
Share this question
More from Trigonometry
- Simplify cos(A) * sec(A).
- Find the value of cos 1° * cos 2° * cos 3° ... cos 90°.
- A 1.2 m tall girl spots a balloon moving horizontally at a height of 88.2 m. The angle of elevation changes from 60° to 30°. Find the distance traveled by the balloon.
- What is sin² 45° + cos² 45°?
- The value of sin 30° / cos 60° is: