Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 5 - Secton 5.1 - The Unit Circle - 5.1 Exercises - Page 407: 16

Answer

$P(\frac{4}{5},\frac{-3}{5})$

Work Step by Step

We have the following equation for the unit circle: $x^{2}+y^{2}=1$, so we plug in $P(x,\frac{-3}{5})$, $x^{2}+({\frac{-3}{5}})^{2}=1$ $ y^{2}=1 - \frac{9}{25}= \frac{16}{25}$ $y = \frac{4}{5}$ or $y = - \frac{4}{5}$ but the x-coordinate is positive so $x = \frac{4}{5}$
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