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

The general solution for 1/2-sin(x)=0 is x= pi/6+2pin,x=(5pi)/6+2pin

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1/2-sin(x)=0

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

x = \frac{π}{6} + 2 πn, x = \frac{5 π}{6} + 2 πn

Solution steps

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

Move

\frac{1}{2}

to the right side

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

Divide both sides by

- 1

sin (x) = \frac{1}{2}

General solutions for

sin (x) = \frac{1}{2}

x = \frac{π}{6} + 2 πn, x = \frac{5 π}{6} + 2 πn

2 sin^{2} (x) = 3 cos^{2} (x)

sin (2 x) - cos (2 x) = 1 + sin (x) - cos (x)

4 cos (2 θ) = 2 sin (θ) + 3

tan^{2} (x) - \frac{1}{3} = 0

sin (x) + cos^{2} (x) = 1

What is the general solution for 1/2-sin(x)=0 ?
The general solution for 1/2-sin(x)=0 is x= pi/6+2pin,x=(5pi)/6+2pin