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Statement-1: The number of |cosx | = sin...

Statement-1: The number of `|cosx | = sinx in [0,4pi]` is 4
Statement-2: The equation `sin^(2)x -1/sqrt(2) (sqrt(3)+1) sinx + sqrt(3)/4=0` has two roots in `[0,pi/2]`.
Statement-3:The number of solutions of `sin theta + sin 5theta= sin 3theta, theta in [0,pi]` is 5.

A

TTT

B

TFF

C

TTF

D

FTT

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The correct Answer is:
B
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Statement-1: If alpha, beta are different values of x satisfying a cosx + b sinx =c, (b ne 0) , then tan(alpha+beta)/(2)=a/b Statement-2: The equation sin^(2)x -1/sqrt(2) -1/sqrt(2)(sqrt(3)+1) + sqrt(3)/4 =0 has two roots in [0,pi/2] Statement-3: The number of solutions of sin theta + sin5 theta = sin 3theta, theta int [0,pi] is 5.

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