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

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


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

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

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

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

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

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

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

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

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

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

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

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

Multiply ins * x
30c2o2s2x2 + 30insx * ins * x = 1

Multiply insx * ins
30c2o2s2x2 + 30i2n2s2x * x = 1

Multiply i2n2s2x * x
30c2o2s2x2 + 30i2n2s2x2 = 1

Solving
30c2o2s2x2 + 30i2n2s2x2 = 1

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 = 1 + -30i2n2s2x2

Combine like terms: 30i2n2s2x2 + -30i2n2s2x2 = 0
30c2o2s2x2 + 0 = 1 + -30i2n2s2x2
30c2o2s2x2 = 1 + -30i2n2s2x2

Divide each side by '30o2s2x2'.
c2 = 0.03333333333o-2s-2x-2 + -1i2n2o-2

Simplifying
c2 = 0.03333333333o-2s-2x-2 + -1i2n2o-2

Reorder the terms:
c2 = -1i2n2o-2 + 0.03333333333o-2s-2x-2

Reorder the terms:
c2 + i2n2o-2 + -0.03333333333o-2s-2x-2 = -1i2n2o-2 + i2n2o-2 + 0.03333333333o-2s-2x-2 + -0.03333333333o-2s-2x-2

Combine like terms: -1i2n2o-2 + i2n2o-2 = 0
c2 + i2n2o-2 + -0.03333333333o-2s-2x-2 = 0 + 0.03333333333o-2s-2x-2 + -0.03333333333o-2s-2x-2
c2 + i2n2o-2 + -0.03333333333o-2s-2x-2 = 0.03333333333o-2s-2x-2 + -0.03333333333o-2s-2x-2

Combine like terms: 0.03333333333o-2s-2x-2 + -0.03333333333o-2s-2x-2 = 0.00000000000
c2 + i2n2o-2 + -0.03333333333o-2s-2x-2 = 0.00000000000

The solution to this equation could not be determined.

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