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=2pin

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

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

x = 2 πn

Solution steps

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

Solve by substitution

cos (x) = 1

cos (x) = 1 : x = 2 πn

Combine all the solutions

x = 2 πn

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

sin (\frac{x}{2}) + \frac{3}{2} = 0

cos (x) = 0.818

sin (x) = \frac{150}{212.6} (sin (11 5^{\circ}))

16 cos (2 θ) - 9 = 0

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=2pin