Question

How do you differentiate the following parametric equation: `(sint,tcost-pit)`?

Answer 1

`dy/dx=-(pi+sint)/cost`

Explanation:

`x(t)=sint`
`y(t)=cost-pit`

`x'(t)=cost`
`y'(t)=-sint-pi`

The derivative of a parametric function can be found through

`(dy/dt)/(dx/dt)=(y'(t))/(x'(t))=-(pi+sint)/cost`