Q 49. - Calculus

Question

In Exercises 48–55 convert the equations given in rectangular coordinates to equations in polar coordinates.

$y=0$

Step-by-Step Solution

Answer

The required equation is $\theta =0$.

Step 1. Given information.

The given equation in rectangular coordinates is:

$y=0$

Step 2. Find the equation in rectangular coordinates.

$y=0$

As we know that $y=r \sin \theta$ in polar coordinates, then substitute the value of y,

$$\begin{gathered} y=r \sin \theta \\ r \sin \theta =0 \\ \sin \theta =\frac{0}{r} \\ \sin \theta =0 \\ \theta =0 \left[\sin 0=0\right] \end{gathered}$$

Therefore, the equation in polar coordinates is $\theta =0$.