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

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

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sin^3(t)=sin(t)

sin^{3} (t) = sin (t)

t = 2 πn, t = π + 2 πn, t = \frac{3 π}{2} + 2 πn, t = \frac{π}{2} + 2 πn

Solution steps

sin^{3} (t) = sin (t)

Solve by substitution

sin (t) = 0, sin (t) = - 1, sin (t) = 1

sin (t) = 0 : t = 2 πn, t = π + 2 πn

sin (t) = - 1 : t = \frac{3 π}{2} + 2 πn

sin (t) = 1 : t = \frac{π}{2} + 2 πn

Combine all the solutions

t = 2 πn, t = π + 2 πn, t = \frac{3 π}{2} + 2 πn, t = \frac{π}{2} + 2 πn

tan^{2} (x) + 3 = 4 tan (x)

2 sin (x) + 1 = 0, 0 \leq x \leq 2 π

9 csc^{2} (θ) - 25 = 0

16 cos^{2} (θ) - 25 = 0

(2 cos (x) + 3) (2 sin (x) - 1) = 0

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