sin(5x)cos(x)=sin(6x)cos(2x)

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Solution for sin(5x)cos(x)=sin(6x)cos(2x) equation:


Simplifying
sin(5x) * cos(x) = sin(6x) * cos(2x)

Remove parenthesis around (5x)
ins * 5x * cos(x) = sin(6x) * cos(2x)

Reorder the terms for easier multiplication:
5ins * x * cos * x = sin(6x) * cos(2x)

Multiply ins * x
5insx * cos * x = sin(6x) * cos(2x)

Multiply insx * cos
5cinos2x * x = sin(6x) * cos(2x)

Multiply cinos2x * x
5cinos2x2 = sin(6x) * cos(2x)

Remove parenthesis around (6x)
5cinos2x2 = ins * 6x * cos(2x)

Remove parenthesis around (2x)
5cinos2x2 = ins * 6x * cos * 2x

Reorder the terms for easier multiplication:
5cinos2x2 = 6 * 2ins * x * cos * x

Multiply 6 * 2
5cinos2x2 = 12ins * x * cos * x

Multiply ins * x
5cinos2x2 = 12insx * cos * x

Multiply insx * cos
5cinos2x2 = 12cinos2x * x

Multiply cinos2x * x
5cinos2x2 = 12cinos2x2

Solving
5cinos2x2 = 12cinos2x2

Solving for variable 'c'.

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

Add '-12cinos2x2' to each side of the equation.
5cinos2x2 + -12cinos2x2 = 12cinos2x2 + -12cinos2x2

Combine like terms: 5cinos2x2 + -12cinos2x2 = -7cinos2x2
-7cinos2x2 = 12cinos2x2 + -12cinos2x2

Combine like terms: 12cinos2x2 + -12cinos2x2 = 0
-7cinos2x2 = 0

Divide each side by '-7'.
cinos2x2 = 0

Simplifying
cinos2x2 = 0

The solution to this equation could not be determined.

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