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

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

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0=-6sin(3x)

0 = - 6 sin (3 x)

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

Solution steps

0 = - 6 sin (3 x)

Switch sides

- 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) = 4 - 3 cot (x)

tan (x) = 193.661

sin (θ) = 0.242

tan^{2} (4 5^{\circ} + (\frac{x}{2})^{\circ}) = 4.137131

2 cos (x) = - 1, 0 \leq x < 2 π

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