sin(6x)*cos(5x)-cos(6x)*sin(5x)=0

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Solution for sin(6x)*cos(5x)-cos(6x)*sin(5x)=0 equation:


Simplifying
sin(6x) * cos(5x) + -1cos(6x) * sin(5x) = 0

Remove parenthesis around (6x)
ins * 6x * cos(5x) + -1cos(6x) * sin(5x) = 0

Remove parenthesis around (5x)
ins * 6x * cos * 5x + -1cos(6x) * sin(5x) = 0

Reorder the terms for easier multiplication:
6 * 5ins * x * cos * x + -1cos(6x) * sin(5x) = 0

Multiply 6 * 5
30ins * x * cos * x + -1cos(6x) * sin(5x) = 0

Multiply ins * x
30insx * cos * x + -1cos(6x) * sin(5x) = 0

Multiply insx * cos
30cinos2x * x + -1cos(6x) * sin(5x) = 0

Multiply cinos2x * x
30cinos2x2 + -1cos(6x) * sin(5x) = 0

Remove parenthesis around (6x)
30cinos2x2 + -1cos * 6x * sin(5x) = 0

Remove parenthesis around (5x)
30cinos2x2 + -1cos * 6x * ins * 5x = 0

Reorder the terms for easier multiplication:
30cinos2x2 + -1 * 6 * 5cos * x * ins * x = 0

Multiply -1 * 6
30cinos2x2 + -6 * 5cos * x * ins * x = 0

Multiply -6 * 5
30cinos2x2 + -30cos * x * ins * x = 0

Multiply cos * x
30cinos2x2 + -30cosx * ins * x = 0

Multiply cosx * ins
30cinos2x2 + -30cinos2x * x = 0

Multiply cinos2x * x
30cinos2x2 + -30cinos2x2 = 0

Combine like terms: 30cinos2x2 + -30cinos2x2 = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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