cos(3x)cos(2x)+sin(3x)sin(2x)=1

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Solution for cos(3x)cos(2x)+sin(3x)sin(2x)=1 equation: 


Simplifying
cos(3x) * cos(2x) + sin(3x) * sin(2x) = 1

Remove parenthesis around (3x)
cos * 3x * cos(2x) + sin(3x) * sin(2x) = 1

Remove parenthesis around (2x)
cos * 3x * cos * 2x + sin(3x) * sin(2x) = 1

Reorder the terms for easier multiplication:
3 * 2cos * x * cos * x + sin(3x) * sin(2x) = 1

Multiply 3 * 2
6cos * x * cos * x + sin(3x) * sin(2x) = 1

Multiply cos * x
6cosx * cos * x + sin(3x) * sin(2x) = 1

Multiply cosx * cos
6c2o2s2x * x + sin(3x) * sin(2x) = 1

Multiply c2o2s2x * x
6c2o2s2x2 + sin(3x) * sin(2x) = 1

Remove parenthesis around (3x)
6c2o2s2x2 + ins * 3x * sin(2x) = 1

Remove parenthesis around (2x)
6c2o2s2x2 + ins * 3x * ins * 2x = 1

Reorder the terms for easier multiplication:
6c2o2s2x2 + 3 * 2ins * x * ins * x = 1

Multiply 3 * 2
6c2o2s2x2 + 6ins * x * ins * x = 1

Multiply ins * x
6c2o2s2x2 + 6insx * ins * x = 1

Multiply insx * ins
6c2o2s2x2 + 6i2n2s2x * x = 1

Multiply i2n2s2x * x
6c2o2s2x2 + 6i2n2s2x2 = 1

Solving
6c2o2s2x2 + 6i2n2s2x2 = 1

Solving for variable 'c'.

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

Add '-6i2n2s2x2' to each side of the equation.
6c2o2s2x2 + 6i2n2s2x2 + -6i2n2s2x2 = 1 + -6i2n2s2x2

Combine like terms: 6i2n2s2x2 + -6i2n2s2x2 = 0
6c2o2s2x2 + 0 = 1 + -6i2n2s2x2
6c2o2s2x2 = 1 + -6i2n2s2x2

Divide each side by '6o2s2x2'.
c2 = 0.1666666667o-2s-2x-2 + -1i2n2o-2

Simplifying
c2 = 0.1666666667o-2s-2x-2 + -1i2n2o-2

Reorder the terms:
c2 = -1i2n2o-2 + 0.1666666667o-2s-2x-2

Reorder the terms:
c2 + i2n2o-2 + -0.1666666667o-2s-2x-2 = -1i2n2o-2 + i2n2o-2 + 0.1666666667o-2s-2x-2 + -0.1666666667o-2s-2x-2

Combine like terms: -1i2n2o-2 + i2n2o-2 = 0
c2 + i2n2o-2 + -0.1666666667o-2s-2x-2 = 0 + 0.1666666667o-2s-2x-2 + -0.1666666667o-2s-2x-2
c2 + i2n2o-2 + -0.1666666667o-2s-2x-2 = 0.1666666667o-2s-2x-2 + -0.1666666667o-2s-2x-2

Combine like terms: 0.1666666667o-2s-2x-2 + -0.1666666667o-2s-2x-2 = 0.0000000000
c2 + i2n2o-2 + -0.1666666667o-2s-2x-2 = 0.0000000000

The solution to this equation could not be determined.

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