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

The general solution for 1/2-cos(x/2)=0 is x=(2pi)/3+4pin,x=(10pi)/3+4pin

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1/2-cos(x/2)=0

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

x = \frac{2 π}{3} + 4 πn, x = \frac{10 π}{3} + 4 πn

Solution steps

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

Move

\frac{1}{2}

to the right side

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

Divide both sides by

- 1

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

General solutions for

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

\frac{x}{2} = \frac{π}{3} + 2 πn, \frac{x}{2} = \frac{5 π}{3} + 2 πn

Solve

\frac{x}{2} = \frac{π}{3} + 2 πn : x = \frac{2 π}{3} + 4 πn

Solve

\frac{x}{2} = \frac{5 π}{3} + 2 πn : x = \frac{10 π}{3} + 4 πn

x = \frac{2 π}{3} + 4 πn, x = \frac{10 π}{3} + 4 πn

tan (θ) = \frac{2 π}{3}

2 sin (5 x) = 1

cos (2 x) = - \frac{17}{81}

sin^{2} (θ) + cos (2 θ) = 0

csc (θ) = \frac{28}{2}, sin (θ)

What is the general solution for 1/2-cos(x/2)=0 ?
The general solution for 1/2-cos(x/2)=0 is x=(2pi)/3+4pin,x=(10pi)/3+4pin