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$S e c^{- 1} (\sqrt{1 + x^{2}}) + C o s e c e^{- 1} (\frac{\sqrt{1 + y^{2}}}{y}) + C o t^{- 1} (\frac{1}{z}) = π$ then

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Correct option is C

Let x=tanA, y=tanB and z=tanC. Then sec-11+x2+cosec-11+y2y+cot-11z=π ⇒sec-11+tan2A+cosec-11+tan2BtanB+cot-11tanC=π ⇒sec-1secA+cosec-1cosecB+cot-1cotC=π ⇒A+B+C=π ⇒tanA+tanB+tanC=tanAtanBtanC ⇒x+y+z=xyz

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Sec−11+x2+Cosece−11+y2y+Cot−11z=π then

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$S e c^{- 1} (\sqrt{1 + x^{2}}) + C o s e c e^{- 1} (\frac{\sqrt{1 + y^{2}}}{y}) + C o t^{- 1} (\frac{1}{z}) = π$ then