Trigonometry (10th Edition)

Published by Pearson
ISBN 10: 0321671775
ISBN 13: 978-0-32167-177-6

Appendix D - Graphing Techniques - Exercises - Page 447: 29

Answer

(a) w.r.t the $x$-axis = $(5, 3)$ (b) w.r.t the $y$-axis = $(-5, -3)$ (c) w.r.t the origin - $(-5, 3)$ See Graph I

Work Step by Step

Point given = $(5, -3)$ (a) w.r.t the $x$-axis (no change in $x$, negative change to $y$), therefore, the point is $(5, 3)$ (b) w.r.t the $y$-axis (no change is $y$, negative change to $x$), therefore, the point is $(-5, -3)$ (c) w.r.t the origin (negative changes to both $x$ and $y$), therefore, the point is $(-5, 3)$
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