If $ \frac{\sin ^{-1} x}{a}=\frac{\cos ^{-1} x}{b}=\frac{\tan ^{-1} y}{c} ; 0

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If $ \frac{\sin ^{-1} x}{a}=\frac{\cos ^{-1} x}{b}=\frac{\tan ^{-1} y}{c} ; 0<x<1 $, then the value of $ \cos \left(\frac{\pi c}{a+b}\right) $ is : [JEE Main 2021, 26 Feb (Shift 1)]

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If \( \frac{\sin ^{-1} x}{a}=\frac{\cos ^{-1} x}{b}=\frac{\tan ^{-1} y}{c} ; 0<x<1 \), then the value of \( \cos \…

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If \( \frac{\sin ^{-1} x}{a}=\frac{\cos ^{-1} x}{b}=\frac{\tan ^{-1} y}{c} ; 0&lt;x&lt;1 \), then the value of \( \cos \…

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If \( \frac{\sin ^{-1} x}{a}=\frac{\cos ^{-1} x}{b}=\frac{\tan ^{-1} y}{c} ; 0<x<1 \), then the value of \( \cos \…