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

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

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cos^2(2x)=1

cos^{2} (2 x) = 1

x = πn, x = \frac{π}{2} + πn

Solution steps

cos^{2} (2 x) = 1

Solve by substitution

cos (2 x) = 1, cos (2 x) = - 1

cos (2 x) = 1 : x = πn

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

Combine all the solutions

x = πn, x = \frac{π}{2} + πn

- 4 cos^{2} (θ) = - 1

- sin (2 x) + sin (x) = 0

sin^{2} (x) = 3 (1 - cos (x))

cos (x) = \frac{1}{10}

u, x = 5 sinh (u)

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