sin(5x)-sin(x)=cos(4x)+cos(2x)

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Solution for sin(5x)-sin(x)=cos(4x)+cos(2x) equation:


Simplifying
sin(5x) + -1sin(x) = cos(4x) + cos(2x)

Remove parenthesis around (5x)
ins * 5x + -1sin(x) = cos(4x) + cos(2x)

Reorder the terms for easier multiplication:
5ins * x + -1sin(x) = cos(4x) + cos(2x)

Multiply ins * x
5insx + -1sin(x) = cos(4x) + cos(2x)

Multiply ins * x
5insx + -1insx = cos(4x) + cos(2x)

Combine like terms: 5insx + -1insx = 4insx
4insx = cos(4x) + cos(2x)

Remove parenthesis around (4x)
4insx = cos * 4x + cos(2x)

Reorder the terms for easier multiplication:
4insx = 4cos * x + cos(2x)

Multiply cos * x
4insx = 4cosx + cos(2x)

Remove parenthesis around (2x)
4insx = 4cosx + cos * 2x

Reorder the terms for easier multiplication:
4insx = 4cosx + 2cos * x

Multiply cos * x
4insx = 4cosx + 2cosx

Combine like terms: 4cosx + 2cosx = 6cosx
4insx = 6cosx

Solving
4insx = 6cosx

Solving for variable 'i'.

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

Divide each side by '4nsx'.
i = 1.5cn-1o

Simplifying
i = 1.5cn-1o

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