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

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

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

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

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

Solution steps

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

Solve by substitution

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

cos (x) = 2 :

No Solution

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

Combine all the solutions

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

tan^{2} (x) - sin (x) = tan^{2} (x) sin^{2} (x)

3 cos (a) - 1 = 0

tan^{2} (x) + tan (x) + cot (x) + cot^{2} (x) = 4

tan (a) = 0

cos^{2} (x) + 3 ∣ cos (x) ∣ - 1 = 0

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