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Find (dy)/(dx), when x=cos^(-1)1/(sqrt(1...

Find `(dy)/(dx),` when `x=cos^(-1)1/(sqrt(1+t^2))"and"y=sin^(-1)t/(sqrt(1+t^2)),tR`

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Given,`x = cos^(-1)(1/√(1+t^2)`
Put` t = tan theta`
`x = cos^(-1)(1/√(1+tan^2theta)`
= `cos^(-1)(1/√sec^2theta)`
...
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