Question

In Problems55–66, the rectangular coordinates of a point are given. Find polar coordinates for each point.

$\left(-1,0\right)$

Short answer

The polar coordinates is $(1,\pi )$.

Step-by-step solution

Step 1. Given Information  

We are given rectangular coordinates of a point,

$\left(-1,0\right)$

We have to find polar coordinates of given point.

Step 2. Finding the polar coordinates  

For the given point $(-1,0)$, means that $x=-1$, and

$y=0$.

So, the point lies on the x-axis at a distance of $1$ unit from the pole along the negative x-axis.

The ray lies along the x-axis at an angle $\pi$radians,

$\theta =\pi$.

So, the polar coordinates is$(1,\pi )$.