Trigonometry 7th Edition

Published by Cengage Learning
ISBN 10: 1111826854
ISBN 13: 978-1-11182-685-7

Chapter 1 - Section 1.2 - The Rectangular Coordinate System - 1.2 Problem Set - Page 25: 60

Answer

$\large(\frac{\sqrt{2}}{2},-\frac{\sqrt{2}}{2}), (-\frac{\sqrt{2}}{2},\frac{\sqrt{2}}{2})$

Work Step by Step

Plugging in $y =-x$ in the equation $x^2+y^2 =1$ $$x^2+(-x)^2=1\\2x^2=1\\x^2=\frac{1}{2}$$ $$\therefore x=\pm \frac{\sqrt{2}}{2}$$ $$\therefore y=-x = \mp \frac{\sqrt{2}}{2}$$ The coordinates of the points of intersection are $\large(\frac{\sqrt{2}}{2},-\frac{\sqrt{2}}{2})$ and $\large(-\frac{\sqrt{2}}{2},\frac{\sqrt{2}}{2})$.
Small 1535680135
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.