Question

Express (15, -15) in polar notation.Question 5 options:21.21∠4515∠4515∠-4521.21∠-45

Answer 1

Given the point: (15, -15)

We will express the point in polar notation

the formulas to convert from rectangular to polar are as follows:

`\begin{gathered} r=\sqrt[]{x^2+y^2} \\ \theta=\tan ^(-1)((y)/(x)) \end{gathered}`

so, the polar form will be as follows:

`\begin{gathered} r=\sqrt[]{(15)^2+(-15)^2}=15\sqrt[]{2}\approx21.21 \\ \\ \theta=\tan ^(-1)((15)/(-15))=tan^(-1)(-1)=-45\degree^{} \end{gathered}`

So, the answer will be:

`(15,-15)=21.21\angle-45\degree`