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

The general solution for cos^2(x)=2-cos(x) is x=2pin

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

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

x = 2 πn

Solution steps

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

Solve by substitution

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

cos (x) = 1 : x = 2 πn

cos (x) = - 2 :

No Solution

Combine all the solutions

x = 2 πn

8 sin (x) = cos (x) - 6

27 sin (t) cos (t) = - 3 sin (t)

sin (5 x) - sin (x) + 3 cos (3 x) = 0

6 cos (2 x) = 3 + 5 sin^{2} (2 x)

2 + 2 sin (θ) = cos^{2} (θ)

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