What is the general solution for cos^2(2x)=3cos(2x) ?

The general solution for cos^2(2x)=3cos(2x) is x= pi/4+pin,x=(3pi)/4+pin

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cos^2(2x)=3cos(2x)

cos^{2} (2 x) = 3 cos (2 x)

x = \frac{π}{4} + πn, x = \frac{3 π}{4} + πn

Solution steps

cos^{2} (2 x) = 3 cos (2 x)

Solve by substitution

cos (2 x) = 3, cos (2 x) = 0

cos (2 x) = 3 :

No Solution

cos (2 x) = 0 : x = \frac{π}{4} + πn, x = \frac{3 π}{4} + πn

Combine all the solutions

x = \frac{π}{4} + πn, x = \frac{3 π}{4} + πn

cos (θ) = - 0.42

sin (\frac{θ}{2}) + cos (θ) = 1

3 sin (\frac{π}{5} x) = 2

11 = 3 csc^{2} (x) + 7

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

What is the general solution for cos^2(2x)=3cos(2x) ?
The general solution for cos^2(2x)=3cos(2x) is x= pi/4+pin,x=(3pi)/4+pin