Question

Polar Equations to Rectangular Equations

Convert the polar equation to rectangular coordinates

$\theta =\pi$

Short answer

The rectangular equation is$y=0$

Step-by-step solution

Step 1. Given information

An equation is given in polar coordinate system as$\theta =\pi$

Step 2. Concept used

Use formulas and replace the value in them to convert to a rectangular coordinate system. Simplify them, and you'll get the solution. In the rectangukar coordinate system, it will provide a curve.

Step 3. Calculation

Formulae used,

$\theta ={\tan }^{-1}\left(\frac{y}{x}\right)$

Substitute the values in the formulae,

$\begin{array}{l}\Rightarrow \theta =\pi \\ \Rightarrow \tan \theta =\tan \pi \\ \Rightarrow \frac{y}{x}=\\ \Rightarrow y=0\end{array}$

It is x axis