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Simplifying cot(x) * cos2(x) = 2cot(x) Multiply cot * x cotx * cos2 * x = 2cot(x) Multiply cotx * cos2 c2o2s2tx * x = 2cot(x) Multiply c2o2s2tx * x c2o2s2tx2 = 2cot(x) Multiply cot * x c2o2s2tx2 = 2cotx Solving c2o2s2tx2 = 2cotx Solving for variable 'c'. Reorder the terms: -2cotx + c2o2s2tx2 = 2cotx + -2cotx Combine like terms: 2cotx + -2cotx = 0 -2cotx + c2o2s2tx2 = 0 Factor out the Greatest Common Factor (GCF), 'cotx'. cotx(-2 + cos2x) = 0Subproblem 1
Set the factor 'cotx' equal to zero and attempt to solve: Simplifying cotx = 0 Solving cotx = 0 Move all terms containing c to the left, all other terms to the right. Simplifying cotx = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-2 + cos2x)' equal to zero and attempt to solve: Simplifying -2 + cos2x = 0 Solving -2 + cos2x = 0 Move all terms containing c to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + cos2x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + cos2x = 0 + 2 cos2x = 0 + 2 Combine like terms: 0 + 2 = 2 cos2x = 2 Divide each side by 'os2x'. c = 2o-1s-2x-1 Simplifying c = 2o-1s-2x-1Solution
c = {2o-1s-2x-1}
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