Functions Modeling Change: A Preparation for Calculus, 5th Edition

Published by Wiley
ISBN 10: 1118583191
ISBN 13: 978-1-11858-319-7

Chapter 7 - Trigonometry and Periodic Functions - Exercises to Skills for Special Angles - Page 324: 13



Work Step by Step

To evaluate trigonometric functions without a calculator, it is necessary to use the unit circle. Doing this, we find that the function evaluates to: $$\sin \left(405^{\circ \:}\right) \\ \sin \left(45^{\circ \:}\right) \\ \frac{\sqrt{2}}{2}$$ Note, on the unit circle 45 and 405 degrees are at the same location.
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