Answer
(a) $r=\frac{4}{cos~θ+sin~θ}$
(b) See graph below
Work Step by Step
(a)
$x=r~cos~θ$
$y=r~sin~θ$
$x+y=4$
$r~cos~θ+r~sin~θ=4$
$r(cos~θ+sin~θ)=4$
$r=\frac{4}{cos~θ+sin~θ}$
(b) Use:
$y=4-x$
or
$r=\frac{4}{cos~θ+sin~θ}$
Precalculus: Mathematics for Calculus, 7th Edition
by Stewart, James; Redlin, Lothar; Watson, Saleem
Published by
Brooks Cole
ISBN 10:
1305071751
ISBN 13:
978-1-30507-175-9
Chapter 8 - Review - Exercises - Page 622: 13
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