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

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


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

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

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

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

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

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

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

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

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

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

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

Multiply 5 * 6
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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