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Simplifying Tan(pi + -1x) = -1tanx (ip * anT + -1x * anT) = -1tanx (ainpT + -1anxT) = -1tanx Solving ainpT + -1anxT = -1antx Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'antx' to each side of the equation. ainpT + antx + -1anxT = -1antx + antx Combine like terms: -1antx + antx = 0 ainpT + antx + -1anxT = 0 Factor out the Greatest Common Factor (GCF), 'an'. an(ipT + tx + -1xT) = 0Subproblem 1
Set the factor 'an' equal to zero and attempt to solve: Simplifying an = 0 Solving an = 0 Move all terms containing a to the left, all other terms to the right. Simplifying an = 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 '(ipT + tx + -1xT)' equal to zero and attempt to solve: Simplifying ipT + tx + -1xT = 0 Solving ipT + tx + -1xT = 0 Move all terms containing a to the left, all other terms to the right. Add '-1ipT' to each side of the equation. ipT + tx + -1ipT + -1xT = 0 + -1ipT Reorder the terms: ipT + -1ipT + tx + -1xT = 0 + -1ipT Combine like terms: ipT + -1ipT = 0 0 + tx + -1xT = 0 + -1ipT tx + -1xT = 0 + -1ipT Remove the zero: tx + -1xT = -1ipT Add '-1tx' to each side of the equation. tx + -1tx + -1xT = -1ipT + -1tx Combine like terms: tx + -1tx = 0 0 + -1xT = -1ipT + -1tx -1xT = -1ipT + -1tx Add 'xT' to each side of the equation. -1xT + xT = -1ipT + -1tx + xT Combine like terms: -1xT + xT = 0 0 = -1ipT + -1tx + xT Simplifying 0 = -1ipT + -1tx + xT 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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