Cos^2x-2cosx+2=1

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Solution for Cos^2x-2cosx+2=1 equation: 


Simplifying
Cos2x + -2cosx + 2 = 1

Reorder the terms:
2 + -2cosx + os2xC = 1

Solving
2 + -2cosx + os2xC = 1

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2cosx + -2 + os2xC = 1 + -2

Reorder the terms:
2 + -2 + -2cosx + os2xC = 1 + -2

Combine like terms: 2 + -2 = 0
0 + -2cosx + os2xC = 1 + -2
-2cosx + os2xC = 1 + -2

Combine like terms: 1 + -2 = -1
-2cosx + os2xC = -1

Add '-1os2xC' to each side of the equation.
-2cosx + os2xC + -1os2xC = -1 + -1os2xC

Combine like terms: os2xC + -1os2xC = 0
-2cosx + 0 = -1 + -1os2xC
-2cosx = -1 + -1os2xC

Divide each side by '-2osx'.
c = 0.5o-1s-1x-1 + 0.5sC

Simplifying
c = 0.5o-1s-1x-1 + 0.5sC

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