Question
If $\tan ^{-1} x, \tan ^{-1} y, \tan ^{-1} z$ are in AP then prove that $(x+z)$$y^{2}+2 y(1-x z)$, where $y \in(0,1), x z<1, x>0$ and $z>0$
Step 1
Step 1: Given that $\tan^{-1}x, \tan^{-1}y, \tan^{-1}z$ are in AP, we can write $\tan^{-1}x + \tan^{-1}z = 2\tan^{-1}y$. Show more…
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