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


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

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