Cos(45+x)=.42cos(45-x)

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Solution for Cos(45+x)=.42cos(45-x) equation:


Simplifying
Cos(45 + x) = 0.42cos(45 + -1x)
(45 * osC + x * osC) = 0.42cos(45 + -1x)
(45osC + osxC) = 0.42cos(45 + -1x)
45osC + osxC = (45 * 0.42cos + -1x * 0.42cos)
45osC + osxC = (18.9cos + -0.42cosx)

Solving
45osC + osxC = 18.9cos + -0.42cosx

Solving for variable 'o'.

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

Add '-18.9cos' to each side of the equation.
45osC + -18.9cos + osxC = 18.9cos + -18.9cos + -0.42cosx

Reorder the terms:
-18.9cos + 45osC + osxC = 18.9cos + -18.9cos + -0.42cosx

Combine like terms: 18.9cos + -18.9cos = 0.0
-18.9cos + 45osC + osxC = 0.0 + -0.42cosx
-18.9cos + 45osC + osxC = -0.42cosx

Add '0.42cosx' to each side of the equation.
-18.9cos + 45osC + 0.42cosx + osxC = -0.42cosx + 0.42cosx

Reorder the terms:
-18.9cos + 0.42cosx + 45osC + osxC = -0.42cosx + 0.42cosx

Combine like terms: -0.42cosx + 0.42cosx = 0.00
-18.9cos + 0.42cosx + 45osC + osxC = 0.00

The solution to this equation could not be determined.

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