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

The general solution for 2cos^2(x)-1+cos(x)=2 is x=2pin

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2cos^2(x)-1+cos(x)=2

2 cos^{2} (x) - 1 + cos (x) = 2

x = 2 πn

Solution steps

2 cos^{2} (x) - 1 + cos (x) = 2

Solve by substitution

cos (x) = 1, cos (x) = - \frac{3}{2}

cos (x) = 1 : x = 2 πn

cos (x) = - \frac{3}{2} :

No Solution

Combine all the solutions

x = 2 πn

23 = csc (x) cot (x)

4 sin^{2} (x) - 4 sin (x) = - 1

sin^{2} (θ) = 3 cos^{2} (θ)

20 sin^{2} (x) + 27 cos (x) = 6

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

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