tan(2B-18)=cot(5B+10)

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Solution for tan(2B-18)=cot(5B+10) equation: 


Simplifying
tan(2B + -18) = cot(5B + 10)

Reorder the terms:
ant(-18 + 2B) = cot(5B + 10)
(-18 * ant + 2B * ant) = cot(5B + 10)
(-18ant + 2antB) = cot(5B + 10)

Reorder the terms:
-18ant + 2antB = cot(10 + 5B)
-18ant + 2antB = (10 * cot + 5B * cot)
-18ant + 2antB = (10cot + 5cotB)

Solving
-18ant + 2antB = 10cot + 5cotB

Solving for variable 'a'.

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

Reorder the terms:
-18ant + 2antB + -10cot + -5cotB = 10cot + -10cot + 5cotB + -5cotB

Combine like terms: 10cot + -10cot = 0
-18ant + 2antB + -10cot + -5cotB = 0 + 5cotB + -5cotB
-18ant + 2antB + -10cot + -5cotB = 5cotB + -5cotB

Combine like terms: 5cotB + -5cotB = 0
-18ant + 2antB + -10cot + -5cotB = 0

Factor out the Greatest Common Factor (GCF), 't'.
t(-18an + 2anB + -10co + -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 '(-18an + 2anB + -10co + -5coB)' equal to zero and attempt to solve:

Simplifying
-18an + 2anB + -10co + -5coB = 0

Solving
-18an + 2anB + -10co + -5coB = 0

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

Add '10co' to each side of the equation.
-18an + 2anB + -10co + 10co + -5coB = 0 + 10co

Combine like terms: -10co + 10co = 0
-18an + 2anB + 0 + -5coB = 0 + 10co
-18an + 2anB + -5coB = 0 + 10co
Remove the zero:
-18an + 2anB + -5coB = 10co

Add '5coB' to each side of the equation.
-18an + 2anB + -5coB + 5coB = 10co + 5coB

Combine like terms: -5coB + 5coB = 0
-18an + 2anB + 0 = 10co + 5coB
-18an + 2anB = 10co + 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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