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Q 49.

Expert-verifiedFound in: Page 731

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 $\theta =0$.

The given equation in rectangular coordinates is:

$y=0$

$y=0$

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 $\theta =0$.

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