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

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

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

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

x = π + 2 πn

Solution steps

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

Solve by substitution

cos (x) = - 1

cos (x) = - 1 : x = π + 2 πn

Combine all the solutions

x = π + 2 πn

cot (x) (1 - cos^{2} (x)) = \frac{1}{2} sin^{2} (x)

(tan (x) - 1) (2 sin (x) - 1) = 0

cos (x) = \frac{20}{29}

2 cot^{4} (x) - cot^{2} (x) - 15 = 0

cos (θ) = \frac{11}{6}

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