Trigonometry (11th Edition) Clone

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

Chapter 5 - Trigonometric Identities - Section 5.6 Half-Angle Identities - 5.6 Exercises - Page 242: 37



Work Step by Step

$$\frac{1-\cos59.74^\circ}{\sin59.74^\circ}$$ From the half-angle identity for tangents: $$\frac{1-\cos A}{\sin A}=\cos\frac{A}{2}$$ We can apply the identity to the given expression with $A=59.74^\circ$. $$\frac{1-\cos59.74^\circ}{\sin59.74^\circ}=\cos\frac{59.74^\circ}{2}$$ $$\frac{1-\cos59.74^\circ}{\sin59.74^\circ}=\cos29.87^\circ$$ This is the single trigonometric function we need to find in this exercise.
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