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

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


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

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

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

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

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

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

Multiply cosx * cos
30c2o2s2x * x = -1sin(6x) * sin(5x)

Multiply c2o2s2x * x
30c2o2s2x2 = -1sin(6x) * sin(5x)

Remove parenthesis around (6x)
30c2o2s2x2 = -1ins * 6x * sin(5x)

Remove parenthesis around (5x)
30c2o2s2x2 = -1ins * 6x * ins * 5x

Reorder the terms for easier multiplication:
30c2o2s2x2 = -1 * 6 * 5ins * x * ins * x

Multiply -1 * 6
30c2o2s2x2 = -6 * 5ins * x * ins * x

Multiply -6 * 5
30c2o2s2x2 = -30ins * x * ins * x

Multiply ins * x
30c2o2s2x2 = -30insx * ins * x

Multiply insx * ins
30c2o2s2x2 = -30i2n2s2x * x

Multiply i2n2s2x * x
30c2o2s2x2 = -30i2n2s2x2

Solving
30c2o2s2x2 = -30i2n2s2x2

Solving for variable 'c'.

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

Divide each side by '30o2s2x2'.
c2 = -1i2n2o-2

Simplifying
c2 = -1i2n2o-2

Combine like terms: -1i2n2o-2 + i2n2o-2 = 0
c2 + i2n2o-2 = 0

The solution to this equation could not be determined.

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