tan(2B+4)=cot(5B-5)

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Solution for tan(2B+4)=cot(5B-5) equation: 


Simplifying
tan(2B + 4) = cot(5B + -5)

Reorder the terms:
ant(4 + 2B) = cot(5B + -5)
(4 * ant + 2B * ant) = cot(5B + -5)
(4ant + 2antB) = cot(5B + -5)

Reorder the terms:
4ant + 2antB = cot(-5 + 5B)
4ant + 2antB = (-5 * cot + 5B * cot)
4ant + 2antB = (-5cot + 5cotB)

Solving
4ant + 2antB = -5cot + 5cotB

Solving for variable 'a'.

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

Reorder the terms:
4ant + 2antB + 5cot + -5cotB = -5cot + 5cot + 5cotB + -5cotB

Combine like terms: -5cot + 5cot = 0
4ant + 2antB + 5cot + -5cotB = 0 + 5cotB + -5cotB
4ant + 2antB + 5cot + -5cotB = 5cotB + -5cotB

Combine like terms: 5cotB + -5cotB = 0
4ant + 2antB + 5cot + -5cotB = 0

Factor out the Greatest Common Factor (GCF), 't'.
t(4an + 2anB + 5co + -5coB) = 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 '(4an + 2anB + 5co + -5coB)' equal to zero and attempt to solve:

Simplifying
4an + 2anB + 5co + -5coB = 0

Solving
4an + 2anB + 5co + -5coB = 0

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

Add '-5co' to each side of the equation.
4an + 2anB + 5co + -5co + -5coB = 0 + -5co

Combine like terms: 5co + -5co = 0
4an + 2anB + 0 + -5coB = 0 + -5co
4an + 2anB + -5coB = 0 + -5co
Remove the zero:
4an + 2anB + -5coB = -5co

Add '5coB' to each side of the equation.
4an + 2anB + -5coB + 5coB = -5co + 5coB

Combine like terms: -5coB + 5coB = 0
4an + 2anB + 0 = -5co + 5coB
4an + 2anB = -5co + 5coB

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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