2014 · Q64
If sin x + cosec x = 2, then what is sin⁹x + cosec⁹x equal to?
Elementary MathematicsTrigonometry
- A2
- B18
- C512
- D1024
Explanation
sin x + 1/sin x = 2 gives sin x = 1, so sin⁹x + cosec⁹x = 1 + 1 = 2.
If sin x + cosec x = 2, then what is sin⁹x + cosec⁹x equal to?
Explanation
sin x + 1/sin x = 2 gives sin x = 1, so sin⁹x + cosec⁹x = 1 + 1 = 2.