tan(x+12)=cotx

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Solution for tan(x+12)=cotx equation:


Simplifying
tan(x + 12) = cotx

Reorder the terms:
ant(12 + x) = cotx
(12 * ant + x * ant) = cotx
(12ant + antx) = cotx

Solving
12ant + antx = cotx

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Combine like terms: cotx + -1cotx = 0
12ant + antx + -1cotx = 0

Factor out the Greatest Common Factor (GCF), 't'.
t(12an + anx + -1cox) = 0

Subproblem 1

Set the factor 't' equal to zero and attempt to solve: Simplifying t = 0 Solving t = 0 Move all terms containing a to the left, all other terms to the right. Add '-1t' to each side of the equation. t + -1t = 0 + -1t Remove the zero: 0 = -1t Simplifying 0 = -1t 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 '(12an + anx + -1cox)' equal to zero and attempt to solve: Simplifying 12an + anx + -1cox = 0 Solving 12an + anx + -1cox = 0 Move all terms containing a to the left, all other terms to the right. Add 'cox' to each side of the equation. 12an + anx + -1cox + cox = 0 + cox Combine like terms: -1cox + cox = 0 12an + anx + 0 = 0 + cox 12an + anx = 0 + cox Remove the zero: 12an + anx = cox The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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