cos^2(0.5x)-1=cosx

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Solution for cos^2(0.5x)-1=cosx equation:


Simplifying
cos2(0.5x) + -1 = cosx

Remove parenthesis around (0.5x)
cos2 * 0.5x + -1 = cosx

Reorder the terms for easier multiplication:
0.5cos2 * x + -1 = cosx

Multiply cos2 * x
0.5cos2x + -1 = cosx

Reorder the terms:
-1 + 0.5cos2x = cosx

Solving
-1 + 0.5cos2x = cosx

Solving for variable 'c'.

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

Add '-1cosx' to each side of the equation.
-1 + -1cosx + 0.5cos2x = cosx + -1cosx

Combine like terms: cosx + -1cosx = 0
-1 + -1cosx + 0.5cos2x = 0

Add '1' to each side of the equation.
-1 + -1cosx + 1 + 0.5cos2x = 0 + 1

Reorder the terms:
-1 + 1 + -1cosx + 0.5cos2x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -1cosx + 0.5cos2x = 0 + 1
-1cosx + 0.5cos2x = 0 + 1

Combine like terms: 0 + 1 = 1
-1cosx + 0.5cos2x = 1

Reorder the terms:
-1 + -1cosx + 0.5cos2x = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + -1cosx + 0.5cos2x = 0

The solution to this equation could not be determined.

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