tan(2B+40)=cot(3B-10)

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Solution for tan(2B+40)=cot(3B-10) equation: 


Simplifying
tan(2B + 40) = cot(3B + -10)

Reorder the terms:
ant(40 + 2B) = cot(3B + -10)
(40 * ant + 2B * ant) = cot(3B + -10)
(40ant + 2antB) = cot(3B + -10)

Reorder the terms:
40ant + 2antB = cot(-10 + 3B)
40ant + 2antB = (-10 * cot + 3B * cot)
40ant + 2antB = (-10cot + 3cotB)

Solving
40ant + 2antB = -10cot + 3cotB

Solving for variable 'a'.

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

Reorder the terms:
40ant + 2antB + 10cot + -3cotB = -10cot + 10cot + 3cotB + -3cotB

Combine like terms: -10cot + 10cot = 0
40ant + 2antB + 10cot + -3cotB = 0 + 3cotB + -3cotB
40ant + 2antB + 10cot + -3cotB = 3cotB + -3cotB

Combine like terms: 3cotB + -3cotB = 0
40ant + 2antB + 10cot + -3cotB = 0

Factor out the Greatest Common Factor (GCF), 't'.
t(40an + 2anB + 10co + -3coB) = 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 '(40an + 2anB + 10co + -3coB)' equal to zero and attempt to solve:

Simplifying
40an + 2anB + 10co + -3coB = 0

Solving
40an + 2anB + 10co + -3coB = 0

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

Add '-10co' to each side of the equation.
40an + 2anB + 10co + -10co + -3coB = 0 + -10co

Combine like terms: 10co + -10co = 0
40an + 2anB + 0 + -3coB = 0 + -10co
40an + 2anB + -3coB = 0 + -10co
Remove the zero:
40an + 2anB + -3coB = -10co

Add '3coB' to each side of the equation.
40an + 2anB + -3coB + 3coB = -10co + 3coB

Combine like terms: -3coB + 3coB = 0
40an + 2anB + 0 = -10co + 3coB
40an + 2anB = -10co + 3coB

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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