Plz solve 2nd part

Illustration -32 Solve the following equations:

$(ii) \sin^{- 1} (1 - x) - 2 \sin^{- 1} x = \frac{π}{2}$

Question

Plz solve 2nd part

Illustration -32 Solve the following equations:

ii   sin - 1   1 - x - 2   sin - 1   x = π 2

Aarushi Mishra · Accepted Answer

sin-11-x-2 sin-1x=π2sin-11-x=π2+2 sin-1xsin sin-11-x=sin π2+2 sin-1x1-x=cos 2 sin-1xUse sin-1x=π2-cos-1x1-x=cos 2 π2-cos-1x1-x=cos π-2cos-1x1-x=-cos 2cos-1xUse cos-1x=cos-12x2-11-x=-cos cos-12x2-11-x=-2x2-11-x=-2x2+12x2-x=0x2x-1=0x=0or x=12