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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.
Value of S is

A

`(5pi)/(6)`

B

`(7pi)/(6)`

C

`2pi`

D

`pi`

Text Solution

Verified by Experts

The correct Answer is:
D
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