Which of the following is not the solution of the equation `sin 5x=16 sin^(5) x(n inZ)` ?

Options

A. `n pi`
B. `npi+pi/6`
C. `npi- pi/6`
D. none of these

Answer

D

Explanation

`sin 5x=16 sin^(5) x`
or `sin (3x+2x)=16 sin^(5) x`
or `5 sin x-20 sin^(3) x+16 sin^(5) x=16 sin^(5) x`
or `5 sin x (1-4 sin^(2) x)=0`
`:. Sin x=0 or sin^(2) x=1//4`
`:. X=n pi, x= n pi pm pi/6, n in Z`