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If $\sec^{- 1} \sqrt{1 + x^{2}} + \cos e c^{- 1} \frac{\sqrt{1 + y^{2}}}{y} + \cot^{- 1} \frac{1}{z} = π,$ then

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x+y+z=0

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Correct option is C

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

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If sec−11+x2+cosec−11+y2y+cot−11z=π,then

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If $\sec^{- 1} \sqrt{1 + x^{2}} + \cos e c^{- 1} \frac{\sqrt{1 + y^{2}}}{y} + \cot^{- 1} \frac{1}{z} = π,$ then