What is the general solution for sin^5(x)=4sin(x) ?

The general solution for sin^5(x)=4sin(x) is x=2pin,x=pi+2pin

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sin^5(x)=4sin(x)

sin^{5} (x) = 4 sin (x)

x = 2 πn, x = π + 2 πn

Solution steps

sin^{5} (x) = 4 sin (x)

Solve by substitution

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

sin (x) = 0 : x = 2 πn, x = π + 2 πn

sin (x) = 2 i :

No Solution

sin (x) = - 2 i :

No Solution

sin (x) = - 2 :

No Solution

sin (x) = 2 :

No Solution

Combine all the solutions

x = 2 πn, x = π + 2 πn

tan (x) = 2 + 3

sin (a) = \frac{11}{61}

4 sin (2 θ) = 2

tan (x) = 1.3

sin (x) = 60

What is the general solution for sin^5(x)=4sin(x) ?
The general solution for sin^5(x)=4sin(x) is x=2pin,x=pi+2pin