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

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

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-sin(x/2)=0

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

x = 4 πn, x = 2 π + 4 πn

Solution steps

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

Divide both sides by

- 1

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

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7 (2 sin^{2} (x) - 1) = 0

cos (a) = \frac{- 3}{2}

2 cos (2 c) = \frac{( 0 ) - ( 0 )}{( π ) - ( - π )}

- 5 cos (2 θ) - 9 sin (θ) + 8 = - sin (θ)

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