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Simplifying tan(2B + 10) = cot(4B + -10) Reorder the terms: ant(10 + 2B) = cot(4B + -10) (10 * ant + 2B * ant) = cot(4B + -10) (10ant + 2antB) = cot(4B + -10) Reorder the terms: 10ant + 2antB = cot(-10 + 4B) 10ant + 2antB = (-10 * cot + 4B * cot) 10ant + 2antB = (-10cot + 4cotB) Solving 10ant + 2antB = -10cot + 4cotB Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Reorder the terms: 10ant + 2antB + 10cot + -4cotB = -10cot + 10cot + 4cotB + -4cotB Combine like terms: -10cot + 10cot = 0 10ant + 2antB + 10cot + -4cotB = 0 + 4cotB + -4cotB 10ant + 2antB + 10cot + -4cotB = 4cotB + -4cotB Combine like terms: 4cotB + -4cotB = 0 10ant + 2antB + 10cot + -4cotB = 0 Factor out the Greatest Common Factor (GCF), '2t'. 2t(5an + anB + 5co + -2coB) = 0 Ignore the factor 2.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 '(5an + anB + 5co + -2coB)' equal to zero and attempt to solve: Simplifying 5an + anB + 5co + -2coB = 0 Solving 5an + anB + 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. 5an + anB + 5co + -5co + -2coB = 0 + -5co Combine like terms: 5co + -5co = 0 5an + anB + 0 + -2coB = 0 + -5co 5an + anB + -2coB = 0 + -5co Remove the zero: 5an + anB + -2coB = -5co Add '2coB' to each side of the equation. 5an + anB + -2coB + 2coB = -5co + 2coB Combine like terms: -2coB + 2coB = 0 5an + anB + 0 = -5co + 2coB 5an + anB = -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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