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

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

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

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

x = 2 πn, x = π + 2 πn

Solution steps

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

Solve by substitution

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

sin (x) = 2 :

No Solution

sin (x) = 0 : x = 2 πn, x = π + 2 πn

Combine all the solutions

x = 2 πn, x = π + 2 πn

cot^{2} (x) = - 3 cot (x)

tan (θ) = \frac{cos ( θ )}{sin ( θ )}

sin (θ) + 2 sin^{2} (θ) = 0

(cot (x) + 1) (sin (x) + 1) = 0

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

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