What is the general solution for -1/4 sin(x/2)=0 ?

The general solution for -1/4 sin(x/2)=0 is x=4pin,x=2pi+4pin

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-1/4 sin(x/2)=0

- \frac{1}{4} sin (\frac{x}{2}) = 0

x = 4 πn, x = 2 π + 4 πn

Solution steps

- \frac{1}{4} sin (\frac{x}{2}) = 0

Multiply both sides by

- 4

sin (\frac{x}{2}) = 0

General solutions for

sin (\frac{x}{2}) = 0

\frac{x}{2} = 0 + 2 πn, \frac{x}{2} = π + 2 πn

Solve

\frac{x}{2} = 0 + 2 πn : x = 4 πn

Solve

\frac{x}{2} = π + 2 πn : x = 2 π + 4 πn

x = 4 πn, x = 2 π + 4 πn

8 sin (π x) - \frac{1}{4} + 1 = 7

8 sin^{2} (u) + 6 sin (u) - 9 = 0

sin (x) = 2 tan (x)

cos (θ) = \frac{1}{5}

sin (\frac{x}{2}) - cos (x) = 0

What is the general solution for -1/4 sin(x/2)=0 ?
The general solution for -1/4 sin(x/2)=0 is x=4pin,x=2pi+4pin