tan(x-30)=cotx

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Solution for tan(x-30)=cotx equation: 


Simplifying
tan(x + -30) = cotx

Reorder the terms:
ant(-30 + x) = cotx
(-30 * ant + x * ant) = cotx
(-30ant + antx) = cotx

Solving
-30ant + 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
-30ant + antx + -1cotx = 0

Factor out the Greatest Common Factor (GCF), 't'.
t(-30an + 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 '(-30an + anx + -1cox)' equal to zero and attempt to solve:

Simplifying
-30an + anx + -1cox = 0

Solving
-30an + 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.
-30an + anx + -1cox + cox = 0 + cox

Combine like terms: -1cox + cox = 0
-30an + anx + 0 = 0 + cox
-30an + anx = 0 + cox
Remove the zero:
-30an + 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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