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Simplifying
cos(4x) * cos(x) + -1sin(4x) * sin(x) = 0
Remove parenthesis around (4x)
cos * 4x * cos(x) + -1sin(4x) * sin(x) = 0
Reorder the terms for easier multiplication:
4cos * x * cos * x + -1sin(4x) * sin(x) = 0
Multiply cos * x
4cosx * cos * x + -1sin(4x) * sin(x) = 0
Multiply cosx * cos
4c2o2s2x * x + -1sin(4x) * sin(x) = 0
Multiply c2o2s2x * x
4c2o2s2x2 + -1sin(4x) * sin(x) = 0
Remove parenthesis around (4x)
4c2o2s2x2 + -1ins * 4x * sin(x) = 0
Reorder the terms for easier multiplication:
4c2o2s2x2 + -1 * 4ins * x * ins * x = 0
Multiply -1 * 4
4c2o2s2x2 + -4ins * x * ins * x = 0
Multiply ins * x
4c2o2s2x2 + -4insx * ins * x = 0
Multiply insx * ins
4c2o2s2x2 + -4i2n2s2x * x = 0
Multiply i2n2s2x * x
4c2o2s2x2 + -4i2n2s2x2 = 0
Solving
4c2o2s2x2 + -4i2n2s2x2 = 0
Solving for variable 'c'.
Move all terms containing c to the left, all other terms to the right.
Add '4i2n2s2x2' to each side of the equation.
4c2o2s2x2 + -4i2n2s2x2 + 4i2n2s2x2 = 0 + 4i2n2s2x2
Combine like terms: -4i2n2s2x2 + 4i2n2s2x2 = 0
4c2o2s2x2 + 0 = 0 + 4i2n2s2x2
4c2o2s2x2 = 0 + 4i2n2s2x2
Remove the zero:
4c2o2s2x2 = 4i2n2s2x2
Divide each side by '4o2s2x2'.
c2 = i2n2o-2
Simplifying
c2 = i2n2o-2
Take the square root of each side:
c = {-1ino-1, ino-1}
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