Tangent at a Parametric Point of a Translated Ellipse

Tangent at a Parametric Point of a Translated Ellipse

At:

$$P(h+a\cos\theta,k+b\sin\theta)$$

the tangent is:

$$\frac{(x-h)\cos\theta}{a}+\frac{(y-k)\sin\theta}{b}=1$$

Usage

- Used when the point of contact is given parametrically.

At:

$$P(h+a\cos\theta,k+b\sin\theta)$$

the tangent is:

$$\frac{(x-h)\cos\theta}{a}+\frac{(y-k)\sin\theta}{b}=1$$

Usage

- Used when the point of contact is given parametrically.