Q. The solution of the equation  2   cos - 1 x   =   sin - 1 2 x 1 - x 2
a. [-1,0]
b. [0,1]
c. [-1,1]
d.  1 2 , 1
 

Dear student
2cos-1x=sin-12x1-x2cos-12x2-1=sin-12x1-x2   As 2cos-1x=cos-12x2-1sin-11-2x2-12=sin-12x1-x2    As cos-1x=sin-11-x2sin-11-4x4-1+4x2=sin-12x1-x2sin-12x1-x2=sin-12x1-x2Since LHS and RHS are equal so we cannot  proceed further in the question.Please recheck the question.
Regards

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