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 = cos θ – cos 2θ, y = sin θ – sin 2θ

Philoid · Accepted Answer

It is given that

x = cos θ – cos 2θ, y = sin θ – sin 2θ

Then, we have

= -sinθ – (-2sin2θ)

= 2sin2θ - sinθ …………… (1)

= cosθ – 2cos2θ

= -bsinƟ ………… (2)

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

Hence, the value of is

If x and y are connected parametrically by the equations given in without eliminating the parameter, Find dy/dx.x = cos θ – cos 2θ, y = sin θ – sin 2θ

If x and y are connected parametrically by the equations given in without eliminating the parameter, Find dy/dx.
x = cos θ – cos 2θ, y = sin θ – sin 2θ