Solve for x : sin-1 6x + sin-1 6root3 x = -pi/2 Share with your friends Share 35 Vipin Verma answered this sin-1(6x) + sin-1(63x) = -π2 π2 + sin-1(63x) = -sin-16xTake sin on both sides, we havesin(π2 + sin-1(63x) ) = -6xAs sin(π2+x) =cosxSo cos(sin-1(63x) ) = -6xAs sin-1A =cos-1(1-A2)So cos( cos-11-108x2) =-6xOr 1-108x2 = -6x (1)Or 1-108x2 =36x2x2 =1/144Or x = -112 , 112But putting x =112 , in (1) , will not satisfySo x=-112 (ans) Hope you have got it. 132 View Full Answer
