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

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Solution for sin(6x)*cos(5x)+cos(6x)*sin(5x)=-1 equation:


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

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

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

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

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

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

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

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

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

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

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

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

Multiply cos * x
30cinos2x2 + 30cosx * ins * x = -1

Multiply cosx * ins
30cinos2x2 + 30cinos2x * x = -1

Multiply cinos2x * x
30cinos2x2 + 30cinos2x2 = -1

Combine like terms: 30cinos2x2 + 30cinos2x2 = 60cinos2x2
60cinos2x2 = -1

Solving
60cinos2x2 = -1

Solving for variable 'c'.

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

Divide each side by '60inos2x2'.
c = -0.01666666667i-1n-1o-1s-2x-2

Simplifying
c = -0.01666666667i-1n-1o-1s-2x-2

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