sin(5x)cos(2x)+cos(5x)sin(2x)=-.8

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Solution for sin(5x)cos(2x)+cos(5x)sin(2x)=-.8 equation:


Simplifying
sin(5x) * cos(2x) + cos(5x) * sin(2x) = -0.8

Remove parenthesis around (5x)
ins * 5x * cos(2x) + cos(5x) * sin(2x) = -0.8

Remove parenthesis around (2x)
ins * 5x * cos * 2x + cos(5x) * sin(2x) = -0.8

Reorder the terms for easier multiplication:
5 * 2ins * x * cos * x + cos(5x) * sin(2x) = -0.8

Multiply 5 * 2
10ins * x * cos * x + cos(5x) * sin(2x) = -0.8

Multiply ins * x
10insx * cos * x + cos(5x) * sin(2x) = -0.8

Multiply insx * cos
10cinos2x * x + cos(5x) * sin(2x) = -0.8

Multiply cinos2x * x
10cinos2x2 + cos(5x) * sin(2x) = -0.8

Remove parenthesis around (5x)
10cinos2x2 + cos * 5x * sin(2x) = -0.8

Remove parenthesis around (2x)
10cinos2x2 + cos * 5x * ins * 2x = -0.8

Reorder the terms for easier multiplication:
10cinos2x2 + 5 * 2cos * x * ins * x = -0.8

Multiply 5 * 2
10cinos2x2 + 10cos * x * ins * x = -0.8

Multiply cos * x
10cinos2x2 + 10cosx * ins * x = -0.8

Multiply cosx * ins
10cinos2x2 + 10cinos2x * x = -0.8

Multiply cinos2x * x
10cinos2x2 + 10cinos2x2 = -0.8

Combine like terms: 10cinos2x2 + 10cinos2x2 = 20cinos2x2
20cinos2x2 = -0.8

Solving
20cinos2x2 = -0.8

Solving for variable 'c'.

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

Divide each side by '20inos2x2'.
c = -0.04i-1n-1o-1s-2x-2

Simplifying
c = -0.04i-1n-1o-1s-2x-2

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