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The number of solutions of the equation `16(sin^(5)x +cos^(5)x)=11(sin x + cos x)` in the interval `[0,2pi]` is

A

`theta =0`

B

`theta=(pi)/(3) or -(pi)/(3)`

C

`theta =(pi)/(6)`

D

`theta =(pi)/(6)`

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The correct Answer is:
a
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