Trigonometry (11th Edition) Clone

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

Chapter 2 - Quiz (Sections 2.1-2.3) - Page 71: 14



Work Step by Step

We have: $\sin(30^{\circ} + 60^{\circ})$ = $\sin 30^{\circ}$ + $\sin 60^{\circ}$ The questions becomes if the below statement is true. $\sin 90^{\circ}$ = $\sin 30^{\circ}$ + $\sin 60^{\circ}$ To break this down, we calculate each function separately. $\sin 30^{\circ}$ = $\frac{1}{2}$ $\sin 60^{\circ}$ = $\frac{\sqrt 3}{2}$ $\sin 90^{\circ}$ = 1 Is the following true? 1 = $\frac{1}{2}$ + $\frac{\sqrt 3}{2}$ 1 = 1.37 The answer becomes FALSE.
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