Cos(2x)cos(x)-sin(2x)sin(x)=0

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Solution for Cos(2x)cos(x)-sin(2x)sin(x)=0 equation:


Simplifying
Cos(2x) * cos(x) + -1sin(2x) * sin(x) = 0

Remove parenthesis around (2x)
osC * 2x * cos(x) + -1sin(2x) * sin(x) = 0

Reorder the terms for easier multiplication:
2osC * x * cos * x + -1sin(2x) * sin(x) = 0

Multiply osC * x
2osxC * cos * x + -1sin(2x) * sin(x) = 0

Multiply osxC * cos
2co2s2xC * x + -1sin(2x) * sin(x) = 0

Multiply co2s2xC * x
2co2s2x2C + -1sin(2x) * sin(x) = 0

Remove parenthesis around (2x)
2co2s2x2C + -1ins * 2x * sin(x) = 0

Reorder the terms for easier multiplication:
2co2s2x2C + -1 * 2ins * x * ins * x = 0

Multiply -1 * 2
2co2s2x2C + -2ins * x * ins * x = 0

Multiply ins * x
2co2s2x2C + -2insx * ins * x = 0

Multiply insx * ins
2co2s2x2C + -2i2n2s2x * x = 0

Multiply i2n2s2x * x
2co2s2x2C + -2i2n2s2x2 = 0

Solving
2co2s2x2C + -2i2n2s2x2 = 0

Solving for variable 'c'.

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

Add '2i2n2s2x2' to each side of the equation.
2co2s2x2C + -2i2n2s2x2 + 2i2n2s2x2 = 0 + 2i2n2s2x2

Combine like terms: -2i2n2s2x2 + 2i2n2s2x2 = 0
2co2s2x2C + 0 = 0 + 2i2n2s2x2
2co2s2x2C = 0 + 2i2n2s2x2
Remove the zero:
2co2s2x2C = 2i2n2s2x2

Divide each side by '2o2s2x2C'.
c = i2n2o-2C-1

Simplifying
c = i2n2o-2C-1

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