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Simplifying Tan(2x) = 2tan(x) Remove parenthesis around (2x) anT * 2x = 2tan(x) Reorder the terms for easier multiplication: 2anT * x = 2tan(x) Multiply anT * x 2anxT = 2tan(x) Multiply ant * x 2anxT = 2antx Solving 2anxT = 2antx Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2antx' to each side of the equation. -2antx + 2anxT = 2antx + -2antx Combine like terms: 2antx + -2antx = 0 -2antx + 2anxT = 0 Factor out the Greatest Common Factor (GCF), '2anx'. 2anx(-1t + T) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'anx' equal to zero and attempt to solve: Simplifying anx = 0 Solving anx = 0 Move all terms containing a to the left, all other terms to the right. Simplifying anx = 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 '(-1t + T)' equal to zero and attempt to solve: Simplifying -1t + T = 0 Reorder the terms: T + -1t = 0 Solving T + -1t = 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 + -1t = 0 + -1T Combine like terms: T + -1T = 0 0 + -1t = 0 + -1T -1t = 0 + -1T Remove the zero: -1t = -1T Add 't' to each side of the equation. -1t + t = -1T + t Combine like terms: -1t + t = 0 0 = -1T + t Simplifying 0 = -1T + t 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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