If x and y are connected parametrically by the equations given in without eliminating the parameter, Find dy/dx.

Question

If x and y are connected parametrically by the equations given in without eliminating the parameter, Find dy/dx. x = a sec θ, y = b tan θ

Philoid · Accepted Answer

It is given that

x = a sec θ, y = b tan θ

Then, we have

= asecθtanθ…………………… (1)

= bsec²θ…………………… (2)

From equation (1) and (2), we get,

Hence, the value of is