What is the general solution for 6sin(3x)=0 ?

The general solution for 6sin(3x)=0 is x=(2pin)/3 ,x= pi/3+(2pin)/3

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6sin(3x)=0

6 sin (3 x) = 0

x = \frac{2 πn}{3}, x = \frac{π}{3} + \frac{2 πn}{3}

Solution steps

6 sin (3 x) = 0

Divide both sides by

6

sin (3 x) = 0

General solutions for

sin (3 x) = 0

3 x = 0 + 2 πn, 3 x = π + 2 πn

Solve

3 x = 0 + 2 πn : x = \frac{2 πn}{3}

Solve

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

x = \frac{2 πn}{3}, x = \frac{π}{3} + \frac{2 πn}{3}

tan (x) = \frac{7}{24}

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

2 sin (x - \frac{π}{2}) + 2 = 0

tan (2 t) + tan (t) = 1 - tan (2 t) tan (t)

2 cos^{3} (x) - cos (x) = 0

What is the general solution for 6sin(3x)=0 ?
The general solution for 6sin(3x)=0 is x=(2pin)/3 ,x= pi/3+(2pin)/3