tan(3B+30)=cot(2B-5)

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Solution for tan(3B+30)=cot(2B-5) equation: 


Simplifying
tan(3B + 30) = cot(2B + -5)

Reorder the terms:
ant(30 + 3B) = cot(2B + -5)
(30 * ant + 3B * ant) = cot(2B + -5)
(30ant + 3antB) = cot(2B + -5)

Reorder the terms:
30ant + 3antB = cot(-5 + 2B)
30ant + 3antB = (-5 * cot + 2B * cot)
30ant + 3antB = (-5cot + 2cotB)

Solving
30ant + 3antB = -5cot + 2cotB

Solving for variable 'a'.

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

Reorder the terms:
30ant + 3antB + 5cot + -2cotB = -5cot + 5cot + 2cotB + -2cotB

Combine like terms: -5cot + 5cot = 0
30ant + 3antB + 5cot + -2cotB = 0 + 2cotB + -2cotB
30ant + 3antB + 5cot + -2cotB = 2cotB + -2cotB

Combine like terms: 2cotB + -2cotB = 0
30ant + 3antB + 5cot + -2cotB = 0

Factor out the Greatest Common Factor (GCF), 't'.
t(30an + 3anB + 5co + -2coB) = 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 + 3anB + 5co + -2coB)' equal to zero and attempt to solve:

Simplifying
30an + 3anB + 5co + -2coB = 0

Solving
30an + 3anB + 5co + -2coB = 0

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

Add '-5co' to each side of the equation.
30an + 3anB + 5co + -5co + -2coB = 0 + -5co

Combine like terms: 5co + -5co = 0
30an + 3anB + 0 + -2coB = 0 + -5co
30an + 3anB + -2coB = 0 + -5co
Remove the zero:
30an + 3anB + -2coB = -5co

Add '2coB' to each side of the equation.
30an + 3anB + -2coB + 2coB = -5co + 2coB

Combine like terms: -2coB + 2coB = 0
30an + 3anB + 0 = -5co + 2coB
30an + 3anB = -5co + 2coB

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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