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Simplifying 2cotx * cos2x = 2cotx Multiply cotx * cos2x 2c2o2s2tx2 = 2cotx Solving 2c2o2s2tx2 = 2cotx Solving for variable 'c'. Reorder the terms: -2cotx + 2c2o2s2tx2 = 2cotx + -2cotx Combine like terms: 2cotx + -2cotx = 0 -2cotx + 2c2o2s2tx2 = 0 Factor out the Greatest Common Factor (GCF), '2cotx'. 2cotx(-1 + cos2x) = 0 Ignore the factor 2.Subproblem 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 '(-1 + cos2x)' equal to zero and attempt to solve: Simplifying -1 + cos2x = 0 Solving -1 + cos2x = 0 Move all terms containing c to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + cos2x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + cos2x = 0 + 1 cos2x = 0 + 1 Combine like terms: 0 + 1 = 1 cos2x = 1 Divide each side by 'os2x'. c = o-1s-2x-1 Simplifying c = o-1s-2x-1Solution
c = {o-1s-2x-1}
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