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Simplifying
cos(7x) * cos(4x) = sin(7x) * sin(4x)
Remove parenthesis around (7x)
cos * 7x * cos(4x) = sin(7x) * sin(4x)
Remove parenthesis around (4x)
cos * 7x * cos * 4x = sin(7x) * sin(4x)
Reorder the terms for easier multiplication:
7 * 4cos * x * cos * x = sin(7x) * sin(4x)
Multiply 7 * 4
28cos * x * cos * x = sin(7x) * sin(4x)
Multiply cos * x
28cosx * cos * x = sin(7x) * sin(4x)
Multiply cosx * cos
28c2o2s2x * x = sin(7x) * sin(4x)
Multiply c2o2s2x * x
28c2o2s2x2 = sin(7x) * sin(4x)
Remove parenthesis around (7x)
28c2o2s2x2 = ins * 7x * sin(4x)
Remove parenthesis around (4x)
28c2o2s2x2 = ins * 7x * ins * 4x
Reorder the terms for easier multiplication:
28c2o2s2x2 = 7 * 4ins * x * ins * x
Multiply 7 * 4
28c2o2s2x2 = 28ins * x * ins * x
Multiply ins * x
28c2o2s2x2 = 28insx * ins * x
Multiply insx * ins
28c2o2s2x2 = 28i2n2s2x * x
Multiply i2n2s2x * x
28c2o2s2x2 = 28i2n2s2x2
Solving
28c2o2s2x2 = 28i2n2s2x2
Solving for variable 'c'.
Move all terms containing c to the left, all other terms to the right.
Divide each side by '28o2s2x2'.
c2 = i2n2o-2
Simplifying
c2 = i2n2o-2
Take the square root of each side:
c = {-1ino-1, ino-1}
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