cos(7x)=cos(5x)+sin(x)

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Solution for cos(7x)=cos(5x)+sin(x) equation:


Simplifying
cos(7x) = cos(5x) + sin(x)

Remove parenthesis around (7x)
cos * 7x = cos(5x) + sin(x)

Reorder the terms for easier multiplication:
7cos * x = cos(5x) + sin(x)

Multiply cos * x
7cosx = cos(5x) + sin(x)

Remove parenthesis around (5x)
7cosx = cos * 5x + sin(x)

Reorder the terms for easier multiplication:
7cosx = 5cos * x + sin(x)

Multiply cos * x
7cosx = 5cosx + sin(x)

Multiply ins * x
7cosx = 5cosx + insx

Solving
7cosx = 5cosx + insx

Solving for variable 'c'.

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

Add '-5cosx' to each side of the equation.
7cosx + -5cosx = 5cosx + -5cosx + insx

Combine like terms: 7cosx + -5cosx = 2cosx
2cosx = 5cosx + -5cosx + insx

Combine like terms: 5cosx + -5cosx = 0
2cosx = 0 + insx
2cosx = insx

Divide each side by '2osx'.
c = 0.5ino-1

Simplifying
c = 0.5ino-1

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