cot(x)cos(x)-cos(x)=0

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Solution for cot(x)cos(x)-cos(x)=0 equation:


Simplifying
cot(x) * cos(x) + -1cos(x) = 0

Multiply cot * x
cotx * cos * x + -1cos(x) = 0

Multiply cotx * cos
c2o2stx * x + -1cos(x) = 0

Multiply c2o2stx * x
c2o2stx2 + -1cos(x) = 0

Multiply cos * x
c2o2stx2 + -1cosx = 0

Reorder the terms:
-1cosx + c2o2stx2 = 0

Solving
-1cosx + c2o2stx2 = 0

Solving for variable 'c'.

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

Subproblem 1

Set the factor 'cosx' equal to zero and attempt to solve: Simplifying cosx = 0 Solving cosx = 0 Move all terms containing c to the left, all other terms to the right. Simplifying cosx = 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 + cotx)' equal to zero and attempt to solve: Simplifying -1 + cotx = 0 Solving -1 + cotx = 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 + cotx = 0 + 1 Combine like terms: -1 + 1 = 0 0 + cotx = 0 + 1 cotx = 0 + 1 Combine like terms: 0 + 1 = 1 cotx = 1 Divide each side by 'otx'. c = o-1t-1x-1 Simplifying c = o-1t-1x-1

Solution

c = {o-1t-1x-1}

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