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

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

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0=sin(5x)

0 = sin (5 x)

x = \frac{2 πn}{5}, x = \frac{π}{5} + \frac{2 πn}{5}

Solution steps

0 = sin (5 x)

Switch sides

sin (5 x) = 0

General solutions for

sin (5 x) = 0

5 x = 0 + 2 πn, 5 x = π + 2 πn

Solve

5 x = 0 + 2 πn : x = \frac{2 πn}{5}

Solve

5 x = π + 2 πn : x = \frac{π}{5} + \frac{2 πn}{5}

x = \frac{2 πn}{5}, x = \frac{π}{5} + \frac{2 πn}{5}

2 sin (\frac{θ}{3}) + 3 = 0, 0 \leq θ \leq 2 π

sin (2 x) - 2 sin (x) = 0, 0 \leq x \leq 2 π

2 sin (x - \frac{π}{3}) + 3 = 0

sin (x) = 0.77

sin (x) = 0.87

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