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

The general solution for cos^2(x/2)=1 is x=4pin,x=2pi+4pin

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cos^2(x/2)=1

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

x = 4 πn, x = 2 π + 4 πn

Solution steps

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

Solve by substitution

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

cos (\frac{x}{2}) = 1 : x = 4 πn

cos (\frac{x}{2}) = - 1 : x = 2 π + 4 πn

Combine all the solutions

x = 4 πn, x = 2 π + 4 πn

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

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

t, A (- sin (wt + d) w) = 0

sin (\frac{3 x}{2} + 4 5^{\circ}) = 0

4 sin (2 θ) - 5 sin (θ) = 0

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