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

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

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sin(x)-sin(x)cos(x)=0

sin (x) - sin (x) cos (x) = 0

x = 2 πn, x = π + 2 πn

Solution steps

sin (x) - sin (x) cos (x) = 0

Factor

sin (x) - sin (x) cos (x) : - sin (x) (cos (x) - 1)

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

Solving each part separately

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

sin (x) = 0 : x = 2 πn, x = π + 2 πn

cos (x) - 1 = 0 : x = 2 πn

Combine all the solutions

x = 2 πn, x = π + 2 πn

\frac{6}{3} cos (x) = \frac{1}{2}

2 sin^{2} (θ) = - 3 sin (θ) - 1

sin (x) = 1.9 cos (x)

tan^{2} (x) + 9 tan (x) + 1 = 0

sinh (t) = 0

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