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Simplifying tan(2B + 30) = cot(3B + -10) Reorder the terms: ant(30 + 2B) = cot(3B + -10) (30 * ant + 2B * ant) = cot(3B + -10) (30ant + 2antB) = cot(3B + -10) Reorder the terms: 30ant + 2antB = cot(-10 + 3B) 30ant + 2antB = (-10 * cot + 3B * cot) 30ant + 2antB = (-10cot + 3cotB) Solving 30ant + 2antB = -10cot + 3cotB Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Reorder the terms: 30ant + 2antB + 10cot + -3cotB = -10cot + 10cot + 3cotB + -3cotB Combine like terms: -10cot + 10cot = 0 30ant + 2antB + 10cot + -3cotB = 0 + 3cotB + -3cotB 30ant + 2antB + 10cot + -3cotB = 3cotB + -3cotB Combine like terms: 3cotB + -3cotB = 0 30ant + 2antB + 10cot + -3cotB = 0 Factor out the Greatest Common Factor (GCF), 't'. t(30an + 2anB + 10co + -3coB) = 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 '(30an + 2anB + 10co + -3coB)' equal to zero and attempt to solve: Simplifying 30an + 2anB + 10co + -3coB = 0 Solving 30an + 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. 30an + 2anB + 10co + -10co + -3coB = 0 + -10co Combine like terms: 10co + -10co = 0 30an + 2anB + 0 + -3coB = 0 + -10co 30an + 2anB + -3coB = 0 + -10co Remove the zero: 30an + 2anB + -3coB = -10co Add '3coB' to each side of the equation. 30an + 2anB + -3coB + 3coB = -10co + 3coB Combine like terms: -3coB + 3coB = 0 30an + 2anB + 0 = -10co + 3coB 30an + 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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