cos(3x)cos(9x)+sin(3x)sin(9x)=0

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Solution for cos(3x)cos(9x)+sin(3x)sin(9x)=0 equation:


Simplifying
cos(3x) * cos(9x) + sin(3x) * sin(9x) = 0

Remove parenthesis around (3x)
cos * 3x * cos(9x) + sin(3x) * sin(9x) = 0

Remove parenthesis around (9x)
cos * 3x * cos * 9x + sin(3x) * sin(9x) = 0

Reorder the terms for easier multiplication:
3 * 9cos * x * cos * x + sin(3x) * sin(9x) = 0

Multiply 3 * 9
27cos * x * cos * x + sin(3x) * sin(9x) = 0

Multiply cos * x
27cosx * cos * x + sin(3x) * sin(9x) = 0

Multiply cosx * cos
27c2o2s2x * x + sin(3x) * sin(9x) = 0

Multiply c2o2s2x * x
27c2o2s2x2 + sin(3x) * sin(9x) = 0

Remove parenthesis around (3x)
27c2o2s2x2 + ins * 3x * sin(9x) = 0

Remove parenthesis around (9x)
27c2o2s2x2 + ins * 3x * ins * 9x = 0

Reorder the terms for easier multiplication:
27c2o2s2x2 + 3 * 9ins * x * ins * x = 0

Multiply 3 * 9
27c2o2s2x2 + 27ins * x * ins * x = 0

Multiply ins * x
27c2o2s2x2 + 27insx * ins * x = 0

Multiply insx * ins
27c2o2s2x2 + 27i2n2s2x * x = 0

Multiply i2n2s2x * x
27c2o2s2x2 + 27i2n2s2x2 = 0

Solving
27c2o2s2x2 + 27i2n2s2x2 = 0

Solving for variable 'c'.

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

Add '-27i2n2s2x2' to each side of the equation.
27c2o2s2x2 + 27i2n2s2x2 + -27i2n2s2x2 = 0 + -27i2n2s2x2

Combine like terms: 27i2n2s2x2 + -27i2n2s2x2 = 0
27c2o2s2x2 + 0 = 0 + -27i2n2s2x2
27c2o2s2x2 = 0 + -27i2n2s2x2
Remove the zero:
27c2o2s2x2 = -27i2n2s2x2

Divide each side by '27o2s2x2'.
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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