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

The general solution for -6sin(6x)=0 is x=(pin)/3 ,x= pi/6+(pin)/3

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-6sin(6x)=0

- 6 sin (6 x) = 0

x = \frac{πn}{3}, x = \frac{π}{6} + \frac{πn}{3}

Solution steps

- 6 sin (6 x) = 0

Divide both sides by

- 6

sin (6 x) = 0

General solutions for

sin (6 x) = 0

6 x = 0 + 2 πn, 6 x = π + 2 πn

Solve

6 x = 0 + 2 πn : x = \frac{πn}{3}

Solve

6 x = π + 2 πn : x = \frac{π}{6} + \frac{πn}{3}

x = \frac{πn}{3}, x = \frac{π}{6} + \frac{πn}{3}

tan (x) = \frac{7}{6}

- 3 arcsin (2 x) = π

3 tan (3 x) = 3

\frac{1}{2} + cos (θ) = 0

(2 cos (x) - 1) (2 sin (x) + 3) = 0

What is the general solution for -6sin(6x)=0 ?
The general solution for -6sin(6x)=0 is x=(pin)/3 ,x= pi/6+(pin)/3