If `sin theta + cosec theta = 2`, then the value of `sin^9 theta + cosec^9 theta `is :
यदि `sin theta + cosec theta=2 " हो, तो " sin^9theta + cose^9 theta` का मान क्या होगा?

Options

A. 2
B. 4
C. 3
D. 1

Answer

A

Explanation

`sin theta + cosec theta = 2 = sintheta implies cosec theta =1 :. Sin^9 theta + cosec^9 theta =1^9+1^9=2`