# If #sin x + "cosec" x = 2#, then find #sin^n x + "cosec" ^n x# ?

##### 1 Answer

Sep 3, 2016

#### Explanation:

Solving

we have

This can be also demonstrated by finite induction.

1) First it is true for

2) Supposing that it is true for

3) Prove that it is true for

It is quite easy and it is left as an exercise.