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

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

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

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

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

Solution steps

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

Solve by substitution

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

cos (x) = \frac{1}{2} : x = \frac{π}{3} + 2 πn, x = \frac{5 π}{3} + 2 πn

Combine all the solutions

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

7 cos (4 x) = 6

sin (x) tan (x) + 3 tan (x) = 0

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

tan (t) = 2

- 120 = - 90 - arctan (0.1) + arctan (0.1 x)

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