What is the general solution for sin^3(x)-4sin(x)=0 ?

The general solution for sin^3(x)-4sin(x)=0 is x=2pin,x=pi+2pin

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sin^3(x)-4sin(x)=0

sin^{3} (x) - 4 sin (x) = 0

x = 2 πn, x = π + 2 πn

Solution steps

sin^{3} (x) - 4 sin (x) = 0

Solve by substitution

sin (x) = 0, sin (x) = - 2, sin (x) = 2

sin (x) = 0 : x = 2 πn, x = π + 2 πn

sin (x) = - 2 :

No Solution

sin (x) = 2 :

No Solution

Combine all the solutions

x = 2 πn, x = π + 2 πn

cos (a) = \frac{- 82}{140 \cdot 138}

sec^{2} (x) - cos (x) = 0

sin (x) \cdot sec (x) = 0

cos (x) = - 0.1235, 0 \leq x \leq 2 π

sin (\frac{3 π}{x}) = 0

What is the general solution for sin^3(x)-4sin(x)=0 ?
The general solution for sin^3(x)-4sin(x)=0 is x=2pin,x=pi+2pin