Trigonometry (11th Edition) Clone

Published by Pearson
ISBN 10: 978-0-13-421743-7
ISBN 13: 978-0-13421-743-7

Chapter 3 - Radian Measure and the Unit Circle - Section 3.3 The Unit Circle and Circular Functions - 3.3 Exercises - Page 123: 1

Answer

$(0,1)$ $\left(\frac{1}{2},\frac{\sqrt 3}{2}\right)$ $\left(\frac{\sqrt 2}{2},\frac{\sqrt 2}{2}\right)$ $\left(\frac{\sqrt 3}{2},\frac{1}{2}\right)$ $(1,0)$

Work Step by Step

The $sine$ of each angle will give the y-coordinate at that angle of the unit circle. The $cosine$ of each angle will give the x-coordinate of that angle of the unit circle. $\sin(90) = 1$ $\cos(90) = 0$ $\sin(60) = \frac{\sqrt 3}{2}$ $\cos(60) = \frac{1}{2}$ $\sin(45) = \frac{\sqrt 2}{2}$ $\cos(45) = \frac{\sqrt 2}{2}$ $\sin(30) = \frac{1}{2}$ $\cos(30) = \frac{\sqrt 3}{2}$ $\sin(0) = 0$ $\cos(0) = 1$
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