please solve this Follow the directions for each problem Sol

Follow the directions for each problem. Solve -15sin^-1 x + 6pi = -6sin^-l x + 9pi, provide an exact value for your solution

Solution

simplyfying the equation we get
9(arcsinx) = -3pi where arcsinx is inverse of sinx
arcsinx = -pi/3
x = sin(-pi/3) = -sin(pi/3) = -sqrt(3)/2