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Answers without the blur. Sign up and see all textbooks for free! Q 49.

Expert-verified Found in: Page 731 ### Calculus

Book edition 1st
Author(s) Peter Kohn, Laura Taalman
Pages 1155 pages
ISBN 9781429241861 # In Exercises 48–55 convert the equations given in rectangular coordinates to equations in polar coordinates.$y=0$

The required equation is $\theta =0$.

See the step by step solution

## 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 $y=r\mathrm{sin}\theta$ in polar coordinates, then substitute the value of y,

$y=r\mathrm{sin}\theta \phantom{\rule{0ex}{0ex}}r\mathrm{sin}\theta =0\phantom{\rule{0ex}{0ex}}\mathrm{sin}\theta =\frac{0}{r}\phantom{\rule{0ex}{0ex}}\mathrm{sin}\theta =0\phantom{\rule{0ex}{0ex}}\theta =0\left[\mathrm{sin}0=0\right]$

Therefore, the equation in polar coordinates is $\theta =0$. ### Want to see more solutions like these? 