cot(x)*cos^2(x)=cot(x)

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Solution for cot(x)*cos^2(x)=cot(x) equation:


Simplifying
cot(x) * cos2(x) = cot(x)

Multiply cot * x
cotx * cos2 * x = cot(x)

Multiply cotx * cos2
c2o2s2tx * x = cot(x)

Multiply c2o2s2tx * x
c2o2s2tx2 = cot(x)

Multiply cot * x
c2o2s2tx2 = cotx

Solving
c2o2s2tx2 = cotx

Solving for variable 'c'.

Reorder the terms:
-1cotx + c2o2s2tx2 = cotx + -1cotx

Combine like terms: cotx + -1cotx = 0
-1cotx + c2o2s2tx2 = 0

Factor out the Greatest Common Factor (GCF), 'cotx'.
cotx(-1 + cos2x) = 0

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-1

Solution

c = {o-1s-2x-1}

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