Answer:Step-by-step explanation:Replace tan^2(x) with sin^2 (x ) / cos^2(x)2 sec(x) sin^3(x) = cos(x) * sin^2(x) / cos^2(x) Cancel cos(x) with cos^2(x)2 sec(x) sin^3(x) = sin^2(x) / cos(x) Multiply by cos(x) both sides2 sec(x)*cos(x)*sin^3(x) = sin^2(x) Divide sin^2(x) both sidesNote sec(x) and cos(x) will cancel when multiplied. giving you one2 sin^3(x) / sin^2(x) = sin^2(x) / sin^2(x) Do the division2 sin(x) = 1 Divide by 2sin(x) = 1/2x = sin-1(1/2)x = 30 degrees or 150 degrees.So the answers are pi/6 and 5/6 pi