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Which of the following is not the soluti...

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

A

`n pi`

B

`npi+pi/6`

C

`npi- pi/6`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
D
`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`
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