What is the general solution for sin(x)(sin(x)-1)=0 ?

The general solution for sin(x)(sin(x)-1)=0 is x=2pin,x=pi+2pin,x= pi/2+2pin

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sin(x)(sin(x)-1)=0

sin (x) (sin (x) - 1) = 0

x = 2 πn, x = π + 2 πn, x = \frac{π}{2} + 2 πn

Solution steps

sin (x) (sin (x) - 1) = 0

Solving each part separately

sin (x) = 0 or sin (x) - 1 = 0

sin (x) = 0 : x = 2 πn, x = π + 2 πn

sin (x) - 1 = 0 : x = \frac{π}{2} + 2 πn

Combine all the solutions

x = 2 πn, x = π + 2 πn, x = \frac{π}{2} + 2 πn

tan (2 x) = tan (x)

tan^{2} (x) = - 1

3 cot^{2} (θ) - 1 = 0

tan (\frac{x}{7}) + 3 = 0

3 (tan (θ) - 2) = 2 tan (θ) - 7

What is the general solution for sin(x)(sin(x)-1)=0 ?
The general solution for sin(x)(sin(x)-1)=0 is x=2pin,x=pi+2pin,x= pi/2+2pin