Tan(2pi-x)=-tanx

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Solution for Tan(2pi-x)=-tanx equation:


Simplifying
Tan(2pi + -1x) = -1tanx
(2ip * anT + -1x * anT) = -1tanx
(2ainpT + -1anxT) = -1tanx

Solving
2ainpT + -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.
2ainpT + antx + -1anxT = -1antx + antx

Combine like terms: -1antx + antx = 0
2ainpT + antx + -1anxT = 0

Factor out the Greatest Common Factor (GCF), 'an'.
an(2ipT + tx + -1xT) = 0

Subproblem 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 '(2ipT + tx + -1xT)' equal to zero and attempt to solve: Simplifying 2ipT + tx + -1xT = 0 Solving 2ipT + tx + -1xT = 0 Move all terms containing a to the left, all other terms to the right. Add '-2ipT' to each side of the equation. 2ipT + tx + -2ipT + -1xT = 0 + -2ipT Reorder the terms: 2ipT + -2ipT + tx + -1xT = 0 + -2ipT Combine like terms: 2ipT + -2ipT = 0 0 + tx + -1xT = 0 + -2ipT tx + -1xT = 0 + -2ipT Remove the zero: tx + -1xT = -2ipT Add '-1tx' to each side of the equation. tx + -1tx + -1xT = -2ipT + -1tx Combine like terms: tx + -1tx = 0 0 + -1xT = -2ipT + -1tx -1xT = -2ipT + -1tx Add 'xT' to each side of the equation. -1xT + xT = -2ipT + -1tx + xT Combine like terms: -1xT + xT = 0 0 = -2ipT + -1tx + xT Simplifying 0 = -2ipT + -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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