Suggested languages for you:

Americas

Europe

Q 33.

Expert-verifiedFound in: Page 731

Book edition
1st

Author(s)
Peter Kohn, Laura Taalman

Pages
1155 pages

ISBN
9781429241861

In Exercises 32–47 convert the equations given in polar coordinates to rectangular coordinates.

$\theta =\frac{\mathrm{\pi}}{4}$

The required equation is $y=x$.

The given equation in polar coordinates is:

$\theta =\frac{\mathrm{\pi}}{4}$

Use the formula $\mathrm{tan}\theta =\frac{y}{x}$,

role="math" localid="1649257610003" $\mathrm{tan}\frac{\mathrm{\pi}}{4}=\frac{y}{x}\phantom{\rule{0ex}{0ex}}1=\frac{y}{x}\left[\mathrm{Since}\mathrm{tan}\frac{\mathrm{\pi}}{4}=1\right]\phantom{\rule{0ex}{0ex}}y=x$

Therefore, the equation in rectangular coordinates is $y=x$.

94% of StudySmarter users get better grades.

Sign up for free