Question

Hello do you think you could help me with two problems please?

Answer 1

SOLUTION FOR NUMBER 18

Explanation:

To convert from Cartesian coordinates to polar coordinates to, you can use:

$\begin{gathered} (x,y)\rightarrow(r,\theta) \\ where; \\ r=\sqrt{x^2+y^2} \\ \theta=tan^{-1}(\frac{y}{x}) \end{gathered}$$\begin{gathered} r=\sqrt{2^2+4^2}=\sqrt{20}=2\sqrt{5} \\ \theta=tan^{-1}(\frac{4}{2})=63.43\degree \end{gathered}$$\begin{gathered} The\text{ polar coordinates is;} \\ (r,\theta)=(2\sqrt{5},\text{ 63.43}\degree) \end{gathered}$