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Simplifying cot(x + -10) = tan(2x + 20) Reorder the terms: cot(-10 + x) = tan(2x + 20) (-10 * cot + x * cot) = tan(2x + 20) (-10cot + cotx) = tan(2x + 20) Reorder the terms: -10cot + cotx = ant(20 + 2x) -10cot + cotx = (20 * ant + 2x * ant) -10cot + cotx = (20ant + 2antx) Solving -10cot + cotx = 20ant + 2antx Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Reorder the terms: -20ant + -2antx + -10cot + cotx = 20ant + 2antx + -20ant + -2antx Reorder the terms: -20ant + -2antx + -10cot + cotx = 20ant + -20ant + 2antx + -2antx Combine like terms: 20ant + -20ant = 0 -20ant + -2antx + -10cot + cotx = 0 + 2antx + -2antx -20ant + -2antx + -10cot + cotx = 2antx + -2antx Combine like terms: 2antx + -2antx = 0 -20ant + -2antx + -10cot + cotx = 0 Factor out the Greatest Common Factor (GCF), 't'. t(-20an + -2anx + -10co + cox) = 0Subproblem 1
Set the factor 't' equal to zero and attempt to solve: Simplifying t = 0 Solving t = 0 Move all terms containing c 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 '(-20an + -2anx + -10co + cox)' equal to zero and attempt to solve: Simplifying -20an + -2anx + -10co + cox = 0 Solving -20an + -2anx + -10co + cox = 0 Move all terms containing c to the left, all other terms to the right. Add '20an' to each side of the equation. -20an + -2anx + -10co + 20an + cox = 0 + 20an Reorder the terms: -20an + 20an + -2anx + -10co + cox = 0 + 20an Combine like terms: -20an + 20an = 0 0 + -2anx + -10co + cox = 0 + 20an -2anx + -10co + cox = 0 + 20an Remove the zero: -2anx + -10co + cox = 20an Add '2anx' to each side of the equation. -2anx + -10co + 2anx + cox = 20an + 2anx Reorder the terms: -2anx + 2anx + -10co + cox = 20an + 2anx Combine like terms: -2anx + 2anx = 0 0 + -10co + cox = 20an + 2anx -10co + cox = 20an + 2anx 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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