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

The general solution for 1-cos(x)= 1/2 is x= pi/3+2pin,x=(5pi)/3+2pin

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1-cos(x)= 1/2

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

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

Solution steps

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

Move

1

to the right side

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

Divide both sides by

- 1

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

General solutions for

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

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

4 cos^{3} (x) = 4 cos (x)

sec (x) = \frac{5}{4}

sin (x) tan (x) = - 9 tan (x)

cos (x) - cos (3 x) = 0

5 cos (x) tan (x) + 3 tan (x) = 0

What is the general solution for 1-cos(x)= 1/2 ?
The general solution for 1-cos(x)= 1/2 is x= pi/3+2pin,x=(5pi)/3+2pin