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 cos θ, y = b cos θ

Philoid · Accepted Answer

It is given that

x = a cos θ, y = b cos θ

Then, we have

= a(-sinƟ)

= -asinƟ………… (1)

= b(-sinƟ)

= -bsinƟ …… (2)

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

Hence, the value of is