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Find all the solution of 4c a s^2xsinx-2...

Find all the solution of `4c a s^2xsinx-2sin^2x=3sinx`

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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