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Simplifying tan(3b + -38) = cot(4b + -5) Reorder the terms: ant(-38 + 3b) = cot(4b + -5) (-38 * ant + 3b * ant) = cot(4b + -5) Reorder the terms: (3abnt + -38ant) = cot(4b + -5) (3abnt + -38ant) = cot(4b + -5) Reorder the terms: 3abnt + -38ant = cot(-5 + 4b) 3abnt + -38ant = (-5 * cot + 4b * cot) Reorder the terms: 3abnt + -38ant = (4bcot + -5cot) 3abnt + -38ant = (4bcot + -5cot) Solving 3abnt + -38ant = 4bcot + -5cot Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Reorder the terms: 3abnt + -38ant + -4bcot + 5cot = 4bcot + -4bcot + -5cot + 5cot Combine like terms: 4bcot + -4bcot = 0 3abnt + -38ant + -4bcot + 5cot = 0 + -5cot + 5cot 3abnt + -38ant + -4bcot + 5cot = -5cot + 5cot Combine like terms: -5cot + 5cot = 0 3abnt + -38ant + -4bcot + 5cot = 0 Factor out the Greatest Common Factor (GCF), 't'. t(3abn + -38an + -4bco + 5co) = 0Subproblem 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 '(3abn + -38an + -4bco + 5co)' equal to zero and attempt to solve: Simplifying 3abn + -38an + -4bco + 5co = 0 Solving 3abn + -38an + -4bco + 5co = 0 Move all terms containing a to the left, all other terms to the right. Add '4bco' to each side of the equation. 3abn + -38an + -4bco + 4bco + 5co = 0 + 4bco Combine like terms: -4bco + 4bco = 0 3abn + -38an + 0 + 5co = 0 + 4bco 3abn + -38an + 5co = 0 + 4bco Remove the zero: 3abn + -38an + 5co = 4bco Add '-5co' to each side of the equation. 3abn + -38an + 5co + -5co = 4bco + -5co Combine like terms: 5co + -5co = 0 3abn + -38an + 0 = 4bco + -5co 3abn + -38an = 4bco + -5co 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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