What is the general solution for sin^2(x)-4sin(x)=0 ?

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

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sin^2(x)-4sin(x)=0

sin^{2} (x) - 4 sin (x) = 0

x = 2 πn, x = π + 2 πn

Solution steps

sin^{2} (x) - 4 sin (x) = 0

Solve by substitution

sin (x) = 4, sin (x) = 0

sin (x) = 4 :

No Solution

sin (x) = 0 : x = 2 πn, x = π + 2 πn

Combine all the solutions

x = 2 πn, x = π + 2 πn

sin^{2} (x) - cos (x) - 1 = 0

3 tan (2 θ) + 1 = 0

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

9 sin (x) = cos (x) - 7

tan (θ) = \frac{1}{- 3}

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