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If x=sqrt(a^(sin^(-1)t)), y=sqrt(a^(cos^...

If `x=sqrt(a^(sin^(-1)t)), y=sqrt(a^(cos^(-1)t))` , show that `(dy)/(dx)=-y/x`

Text Solution

Verified by Experts

Given `x=sqrt(a^(sin^(-1)t))`
apply log on both sides we get
`logx=1/2loga^(sin^(-1)t)`
`=(sin^(-1)t)/2 log_e a`
...
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