sin(5x)-sin(3x)=cos(4x)

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Solution for sin(5x)-sin(3x)=cos(4x) equation:


Simplifying
sin(5x) + -1sin(3x) = cos(4x)

Remove parenthesis around (5x)
ins * 5x + -1sin(3x) = cos(4x)

Reorder the terms for easier multiplication:
5ins * x + -1sin(3x) = cos(4x)

Multiply ins * x
5insx + -1sin(3x) = cos(4x)

Remove parenthesis around (3x)
5insx + -1ins * 3x = cos(4x)

Reorder the terms for easier multiplication:
5insx + -1 * 3ins * x = cos(4x)

Multiply -1 * 3
5insx + -3ins * x = cos(4x)

Multiply ins * x
5insx + -3insx = cos(4x)

Combine like terms: 5insx + -3insx = 2insx
2insx = cos(4x)

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

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

Multiply cos * x
2insx = 4cosx

Solving
2insx = 4cosx

Solving for variable 'i'.

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

Divide each side by '2nsx'.
i = 2cn-1o

Simplifying
i = 2cn-1o

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