Question

Find dy/dx any one
x=acost , y=asint​

Answer 1

`x=a \cos t \implies (dx)/(dt)=-a \sin t`

`y= a \sin t \implies (dy)/(dt)=a \cos t`

Using the chain rule:

`\begin{aligned}\implies (dy)/(dx) & =(dy)/(dt) * (dt)/(dx)\\\\& = a \cos t * (1)/(-a \sin t)\\\\& = (a \cos t)/(-a \sin t)\\\\& = - (\cos t)/(\sin t)\\\\& = - \cot t\end{aligned}`