What is the general solution for cos^2(x)-2cos(x)+1=0 ?

The general solution for cos^2(x)-2cos(x)+1=0 is x=2pin

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cos^2(x)-2cos(x)+1=0

cos^{2} (x) - 2 cos (x) + 1 = 0

x = 2 πn

Solution steps

cos^{2} (x) - 2 cos (x) + 1 = 0

Solve by substitution

cos (x) = 1

cos (x) = 1 : x = 2 πn

Combine all the solutions

x = 2 πn

(cos (θ) + sin (θ))^{2} = \frac{3}{2}

- 2 sin^{2} (θ) + 1 = cos (θ)

x, sin (x y) = y

12 arcsin (x) = 2 π

csc (x) = - 1 - cot (x)

What is the general solution for cos^2(x)-2cos(x)+1=0 ?
The general solution for cos^2(x)-2cos(x)+1=0 is x=2pin