cos(2x)cos(3x)=0.5

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Solution for cos(2x)cos(3x)=0.5 equation:


Simplifying
cos(2x) * cos(3x) = 0.5

Remove parenthesis around (2x)
cos * 2x * cos(3x) = 0.5

Remove parenthesis around (3x)
cos * 2x * cos * 3x = 0.5

Reorder the terms for easier multiplication:
2 * 3cos * x * cos * x = 0.5

Multiply 2 * 3
6cos * x * cos * x = 0.5

Multiply cos * x
6cosx * cos * x = 0.5

Multiply cosx * cos
6c2o2s2x * x = 0.5

Multiply c2o2s2x * x
6c2o2s2x2 = 0.5

Solving
6c2o2s2x2 = 0.5

Solving for variable 'c'.

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

Divide each side by '6o2s2x2'.
c2 = 0.08333333333o-2s-2x-2

Simplifying
c2 = 0.08333333333o-2s-2x-2

Take the square root of each side:
c = {-0.288675135o-1s-1x-1, 0.288675135o-1s-1x-1}

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