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 (θ – sin θ), y = a (1 + cos θ)

Philoid · Accepted Answer

It is given that

x = a (θ – sin θ), y = a (1 + cos θ)

Then, we have

= a(1-cosθ) …………………… (1)

= a[0 + (-sinθ)]

= -asinƟ …………………… (2)

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

Hence, the value of is