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Prove that: tan^(-1)(1/2tan2A)+tan^(-1)(...

Prove that: `tan^(-1)``(1/2tan2A)`+`tan^(-1)``(cotA)`+`tan^(-1)``(cot^3A)`=0

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To prove that \[ \tan^{-1}\left(\frac{1}{2}\tan 2A\right) + \tan^{-1}(\cot A) + \tan^{-1}(\cot^3 A) = 0, \] we will use the properties of the inverse tangent function and some trigonometric identities. ...
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