Please sir reply.Thanks in advance.This question is killing me.

Let`s consider sinx=Z, now let`s critically observe the value of x and Z.... The value of Z should lie in between - 1and +1....now the value of x should be between 0 and 1.57(??) (((as x=pi/2=1.57)))).so obviously if sin inverse x>Z, then x>sin..... And we should remember ur question should have the condition as x

Dear Piyush, in inverse trigonometric functions there are certain range and domains in which the function is defined unlike simple trigonometric functions. Otherwise they contradict basic property of a function (one value for one point). For example Sin-1 has range [-pi/2 , pi/2] and domain [-1, 1] and Cos-1 has range [0,pi] and domain [-1 , 1].In this domain Cos-1 is decreasing therefore if Cos-1x > p. Then x p. Then, x > Sinp. Please approve this answer if it cleared your query.