Question

Rectangular Equations to Polar Equations

Convert the equation to polar form. $x=4$

Short answer

The polar equation is $r=4\sec \theta$

Step-by-step solution

Step 1. Given information

An equation is given in a rectangular coordinate system as$x=4$

Step 2. Concept used

Values are given in the question, substitute them in the formulae. Simplify them and the outcome is the answer.

Step 3. Calculation

Formulae used,

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

Substitute the values in the formulae,

$\begin{array}{l}\Rightarrow x=4\\ \Rightarrow r\cos \theta =4\\ \Rightarrow r=4\sec \theta \end{array}$