Trigonometry (10th Edition)

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

Chapter 6 - Review Exercises - Page 285: 47

Answer

The solutions are: $45^o, 90^o, 225^o, 270^o$

Work Step by Step

The given equation can be solved by graphing. Treat each side of the equation as a function, so graph $y=\sin{(2\theta)}$ and $y=\cos{(2\theta)}+1$. The first coordinate of the points of intersection are the solutions to the given equation. Note that: $\frac{\pi}{4}=45^o \\\frac{\pi}{2}=90^o \\\frac{5\pi}{4}=225^o \\\frac{3\pi}{2}=270^o$ (Refer to the graph below.)
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