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If x = a sec theta, y = b tan theta " th...

If `x = a sec theta, y = b tan theta " then " (dy)/(dx) =` ?

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`x=a "sec" theta`
`rArr (dx)/(d theta) = a "sec" theta "tan" theta`
`"and " y = b "tan" theta`
`(dy)/(d theta) = b "sec"^(2) theta`
`"Now " (dy)/(dx) = (dy//d theta)/(dx//d theta)`
`=(b"sec"^(2) theta)/(a"sec" theta "tan" theta)`
`=(b)/(a"sin" theta)`
`=(b)/(a)"cosec" theta`
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