cos(5x)cos(2x)+sin(5x)sin(2x)=0

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Solution for cos(5x)cos(2x)+sin(5x)sin(2x)=0 equation:


Simplifying
cos(5x) * cos(2x) + sin(5x) * sin(2x) = 0

Remove parenthesis around (5x)
cos * 5x * cos(2x) + sin(5x) * sin(2x) = 0

Remove parenthesis around (2x)
cos * 5x * cos * 2x + sin(5x) * sin(2x) = 0

Reorder the terms for easier multiplication:
5 * 2cos * x * cos * x + sin(5x) * sin(2x) = 0

Multiply 5 * 2
10cos * x * cos * x + sin(5x) * sin(2x) = 0

Multiply cos * x
10cosx * cos * x + sin(5x) * sin(2x) = 0

Multiply cosx * cos
10c2o2s2x * x + sin(5x) * sin(2x) = 0

Multiply c2o2s2x * x
10c2o2s2x2 + sin(5x) * sin(2x) = 0

Remove parenthesis around (5x)
10c2o2s2x2 + ins * 5x * sin(2x) = 0

Remove parenthesis around (2x)
10c2o2s2x2 + ins * 5x * ins * 2x = 0

Reorder the terms for easier multiplication:
10c2o2s2x2 + 5 * 2ins * x * ins * x = 0

Multiply 5 * 2
10c2o2s2x2 + 10ins * x * ins * x = 0

Multiply ins * x
10c2o2s2x2 + 10insx * ins * x = 0

Multiply insx * ins
10c2o2s2x2 + 10i2n2s2x * x = 0

Multiply i2n2s2x * x
10c2o2s2x2 + 10i2n2s2x2 = 0

Solving
10c2o2s2x2 + 10i2n2s2x2 = 0

Solving for variable 'c'.

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

Add '-10i2n2s2x2' to each side of the equation.
10c2o2s2x2 + 10i2n2s2x2 + -10i2n2s2x2 = 0 + -10i2n2s2x2

Combine like terms: 10i2n2s2x2 + -10i2n2s2x2 = 0
10c2o2s2x2 + 0 = 0 + -10i2n2s2x2
10c2o2s2x2 = 0 + -10i2n2s2x2
Remove the zero:
10c2o2s2x2 = -10i2n2s2x2

Divide each side by '10o2s2x2'.
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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