What is the general solution for -6sin(2x)=0 ?

The general solution for -6sin(2x)=0 is x=pin,x= pi/2+pin

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-6sin(2x)=0

- 6 sin (2 x) = 0

x = πn, x = \frac{π}{2} + πn

Solution steps

- 6 sin (2 x) = 0

Divide both sides by

- 6

sin (2 x) = 0

General solutions for

sin (2 x) = 0

2 x = 0 + 2 πn, 2 x = π + 2 πn

Solve

2 x = 0 + 2 πn : x = πn

Solve

2 x = π + 2 πn : x = \frac{π}{2} + πn

x = πn, x = \frac{π}{2} + πn

sin (3 x) - 1 = 0

- sin (θ) = 0

sin (θ) = \frac{1}{6}

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

sin (\frac{x}{4}) = 0

What is the general solution for -6sin(2x)=0 ?
The general solution for -6sin(2x)=0 is x=pin,x= pi/2+pin