cos(6x)cos(5x)+sin(6x)sin(5x)=0

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


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

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

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

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

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

Multiply cos * x
30cosx * cos * x + sin(6x) * sin(5x) = 0

Multiply cosx * cos
30c2o2s2x * x + sin(6x) * sin(5x) = 0

Multiply c2o2s2x * x
30c2o2s2x2 + sin(6x) * sin(5x) = 0

Remove parenthesis around (6x)
30c2o2s2x2 + ins * 6x * sin(5x) = 0

Remove parenthesis around (5x)
30c2o2s2x2 + ins * 6x * ins * 5x = 0

Reorder the terms for easier multiplication:
30c2o2s2x2 + 6 * 5ins * x * ins * x = 0

Multiply 6 * 5
30c2o2s2x2 + 30ins * x * ins * x = 0

Multiply ins * x
30c2o2s2x2 + 30insx * ins * x = 0

Multiply insx * ins
30c2o2s2x2 + 30i2n2s2x * x = 0

Multiply i2n2s2x * x
30c2o2s2x2 + 30i2n2s2x2 = 0

Solving
30c2o2s2x2 + 30i2n2s2x2 = 0

Solving for variable 'c'.

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

Add '-30i2n2s2x2' to each side of the equation.
30c2o2s2x2 + 30i2n2s2x2 + -30i2n2s2x2 = 0 + -30i2n2s2x2

Combine like terms: 30i2n2s2x2 + -30i2n2s2x2 = 0
30c2o2s2x2 + 0 = 0 + -30i2n2s2x2
30c2o2s2x2 = 0 + -30i2n2s2x2
Remove the zero:
30c2o2s2x2 = -30i2n2s2x2

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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