What is the general solution for sin^3(x)=sin^2(x) ?

The general solution for sin^3(x)=sin^2(x) is x=2pin,x=pi+2pin,x= pi/2+2pin

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sin^3(x)=sin^2(x)

sin^{3} (x) = sin^{2} (x)

x = 2 πn, x = π + 2 πn, x = \frac{π}{2} + 2 πn

Solution steps

sin^{3} (x) = sin^{2} (x)

Solve by substitution

sin (x) = 0, sin (x) = 1

sin (x) = 0 : x = 2 πn, x = π + 2 πn

sin (x) = 1 : x = \frac{π}{2} + 2 πn

Combine all the solutions

x = 2 πn, x = π + 2 πn, x = \frac{π}{2} + 2 πn

2 sec^{2} (a) + tan^{2} (a) = 3

3 cos^{2} (x) + 4 cos (x) + 1 = 0

cos^{5} (x) = \frac{1}{2}

\frac{cos ^{2022} ( x )}{( sin ^{2022} ( x ) + cos ^{2022} ( x ) )} = 1

5 sec (x) - 4 cos (x) = 8

What is the general solution for sin^3(x)=sin^2(x) ?
The general solution for sin^3(x)=sin^2(x) is x=2pin,x=pi+2pin,x= pi/2+2pin