Find the principal value of each of the following:(i)`sin^(-1)1/2-2sin^(-1)1/(sqrt(2))``"""""`(ii) `sin^(-1){cos(sin^(-1)(sqrt(3/2))}`

Find the principal value of each of the following:(i)`sin^(-1)1/2-2sin

1.	Find the principal value of each of the following:(i)`sin^(-1)1/2-2sin^(-1)1/(sqrt(2))``"""""`(ii) `sin^(-1){cos(sin^(-1)(sqrt(3/2))}`
Answer» (i) `sin^-1 (1/2) - 2sin(1/sqrt2) = pi/6 - 2(pi/4) ` `=> pi/6 - pi/2 = -pi/3` (ii) `sin^-1 {cos (sin^-1 (sqrt3/2))} = sin^-1 (cos (pi/3)) ` `= sin^-1 (1/2) = pi/6` Answer

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