What is the general solution for -5sin(3x-pi)=0 ?

The general solution for -5sin(3x-pi)=0 is x=(2pin)/3+pi/3 ,x=(2pi)/3+(2pin)/3

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-5sin(3x-pi)=0

- 5 sin (3 x - π) = 0

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

Solution steps

- 5 sin (3 x - π) = 0

Divide both sides by

- 5

sin (3 x - π) = 0

General solutions for

sin (3 x - π) = 0

3 x - π = 0 + 2 πn, 3 x - π = π + 2 πn

Solve

3 x - π = 0 + 2 πn : x = \frac{2 πn}{3} + \frac{π}{3}

Solve

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

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

tan (\frac{1}{2} x) = 0

2 cos (x) = - 2, 0 \leq x < 2 π

3 sec (x) csc (x) = 2 csc (x)

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

cos (θ) = - \frac{6}{7}

What is the general solution for -5sin(3x-pi)=0 ?
The general solution for -5sin(3x-pi)=0 is x=(2pin)/3+pi/3 ,x=(2pi)/3+(2pin)/3