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If number of solution and sum of solution of the equation ` 3sin^(2)x-7sinx +2=0, x in [0,2pi]` are respectively N and S and ` f_(n)(theta)=sin^(n)theta +cos^(n) theta`. On the basis of above information , answer the following questions.
If ` alpha ` is solution of equation ` 3sin^(2)x-7sinx+2=0, x in [0,2pi]`, then the value of `f_(4)(alpha)` is

A

`(97)/(81)`

B

`(57)/(81)`

C

`(65)/(81)`

D

0

Text Solution

Verified by Experts

The correct Answer is:
C
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