Question

Polar Equations to Rectangular Equations

Convert the polar equation to rectangular coordinates

$r\cos \theta =6$

Short answer

The rectangular equation is$x=6$

Step-by-step solution

Step 1. Given information

An equation is given in polar coordinate system as$r\cos \theta =6$

Step 2. Concept used

Use conversion formulae from rectangular coordinates into polar coordinates as-

$\begin{array}{l}x=r\cos \theta \\ y=r\sin \theta \end{array}$

Substitute the value in the formulae.

Step 3. Calculation

Formulae used,

$x=r\cos \theta$

Substitute the values in the formulae,

$\begin{array}{l}\because r\cos \theta =6\\ \therefore x=6\end{array}$

It is a line