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Simplifying 1 + cot2x = 1 + 2cotx Add '-1' to each side of the equation. 1 + -1 + cot2x = 1 + -1 + 2cotx Combine like terms: 1 + -1 = 0 0 + cot2x = 1 + -1 + 2cotx cot2x = 1 + -1 + 2cotx Combine like terms: 1 + -1 = 0 cot2x = 0 + 2cotx cot2x = 2cotx Solving cot2x = 2cotx Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2cotx' to each side of the equation. -2cotx + cot2x = 2cotx + -2cotx Combine like terms: 2cotx + -2cotx = 0 -2cotx + cot2x = 0 Factor out the Greatest Common Factor (GCF), 'cotx'. cotx(-2 + t) = 0Subproblem 1
Set the factor 'cotx' equal to zero and attempt to solve: Simplifying cotx = 0 Solving cotx = 0 Move all terms containing c to the left, all other terms to the right. Simplifying cotx = 0 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 '(-2 + t)' equal to zero and attempt to solve: Simplifying -2 + t = 0 Solving -2 + t = 0 Move all terms containing c to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + t = 0 + 2 Combine like terms: -2 + 2 = 0 0 + t = 0 + 2 t = 0 + 2 Combine like terms: 0 + 2 = 2 t = 2 Add '-1t' to each side of the equation. t + -1t = 2 + -1t Combine like terms: t + -1t = 0 0 = 2 + -1t Simplifying 0 = 2 + -1t 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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