cos^2(0.5X)=0.5+0.5cos(x)

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Solution for cos^2(0.5X)=0.5+0.5cos(x) equation:


Simplifying
cos2(0.5X) = 0.5 + 0.5cos(x)

Remove parenthesis around (0.5X)
cos2 * 0.5X = 0.5 + 0.5cos(x)

Reorder the terms for easier multiplication:
0.5cos2 * X = 0.5 + 0.5cos(x)

Multiply cos2 * X
0.5cos2X = 0.5 + 0.5cos(x)

Multiply cos * x
0.5cos2X = 0.5 + 0.5cosx

Solving
0.5cos2X = 0.5 + 0.5cosx

Solving for variable 'c'.

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

Add '-0.5cosx' to each side of the equation.
-0.5cosx + 0.5cos2X = 0.5 + 0.5cosx + -0.5cosx

Combine like terms: 0.5cosx + -0.5cosx = 0.0
-0.5cosx + 0.5cos2X = 0.5 + 0.0
-0.5cosx + 0.5cos2X = 0.5

Reorder the terms:
-0.5 + -0.5cosx + 0.5cos2X = 0.5 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
-0.5 + -0.5cosx + 0.5cos2X = 0.0

The solution to this equation could not be determined.

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