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: 2

Answer

(a) $"...Terminal$ $Point..."$ (b) $"... (0, 1), (1,0), (0, -1)$ $and$ $(1, 0)..."$

Work Step by Step

(a) According to the definition of a terminal point: Start at the point (1,0) on a unit circle. Walk (counterclockwise) for a distance of ‘t’ units. The point you end up at is called the Terminal Point (b) $\pi$ means $180°$ turn counterclockwise and $-\pi$ stands for clockwise direction, so we have: $\pi/2$ is $90°$ turn counterclockwise, point $(0, 1)$ $\pi$ is $180°$ turn counterclockwise, point $(1, 0)$ $-\pi/2$ is $90°$ turn clockwise, point $(0, -1)$ $2\pi$ is $360°$ turn counterclockwise, point $(1, 0)$
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