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

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

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

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

x = π + 2 πn

Solution steps

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

Solve by substitution

cos (x) = 3, cos (x) = - 1

cos (x) = 3 :

No Solution

cos (x) = - 1 : x = π + 2 πn

Combine all the solutions

x = π + 2 πn

3 sin (x) - cos (x) = 3

11 - sin (x) = cos (2 x)

sin^{3} (x) = sin (x), 0 \leq x \leq 2 π

x, 1 + cos (x) = 3 cos (x)

\frac{1}{cos ( x )} = 4

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