What is the general solution for -36sin(6x)=0 ?

The general solution for -36sin(6x)=0 is x=(pin)/3 ,x= pi/6+(pin)/3

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-36sin(6x)=0

- 36 sin (6 x) = 0

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

Solution steps

- 36 sin (6 x) = 0

Divide both sides by

- 36

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}

2 sin (x) cos (x) = tan (x)

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

sin (4 θ) + sin (2 θ) = 0

sec (x) = \frac{2}{3}

2 sin (x) + 1 = 3 csc (x)

What is the general solution for -36sin(6x)=0 ?
The general solution for -36sin(6x)=0 is x=(pin)/3 ,x= pi/6+(pin)/3