Question

Convert (-4,0) rectangular coordinate to polar coordinate.

Answer 1

`(4,0)`

Explanation:

`\text{Using the following conversions:}\\\boxed{\left\begin{array}{ccc}\text{\underline{Rect. to Polar:}}\\(x,y)\rightarrow(r, \theta)\\\\r=√(x^2+y^2)\\\\\theta=\tan^(-1)((y)/(x))\end{array}\right} \ \`

Given:

`(-4,0) \rightarrow (x,y)\\\\\Rightarrow r=√((-4)^2+(0)^2) \\\\\Longrightarrow√(16) \\\\\therefore \boxed{r=4}\\\\\Rightarrow \theta=\tan^(-1)((0)/(-4) )\\\\\Longrightarrow \theta=\tan^(-1)(0 )\\\\\therefore \boxed{\theta=0}\\\\(r,\theta) \rightarrow \boxed{\boxed{(4,0)}}`

Thus, the given rectangular coordinates converted into polar.