question_answer 50)

If sin?1 (1 ? x) ? 2 sin?1 x =  then x is equal to       (a) 0,                               (b)       (c) 0                                    (d)  

Answer:

Given sin?1 (1 ? x) ? 2 sin?1x                         [Let  sin?1x =        1 ? x = 1 ? 2 sin2        1 ? x = 1 ? 2x2              2x2 ? x = 0        x(2x ? 1) = 0        x = 0 or       But x =  does no satisfy the given equation        hence Ans (c) is correct.