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3sin^(2)x-7sin x +2=0, x in [0,(pi)/(2)]...

` 3sin^(2)x-7sin x +2=0, x in [0,(pi)/(2)] and f_(n)(theta)=sin^(n) theta + cos^(n) theta ` .
On the basis of above information, the value of `f_(4)(x) ` is:

A

`(97)/(81)`

B

`(57)/(81)`

C

`(65)/(81)`

D

0

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The correct Answer is:
C
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