Trigonometry (11th Edition) Clone

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

Chapter 6 - Review Exercises - Page 292: 55



Work Step by Step

Multiply $\frac{3}{4}$ to both sides: $\frac{3}{4} \cdot \frac{4}{3}\arctan{(\frac{x}{2})}=\pi \cdot \frac{3}{4} \\\arctan{(\frac{x}{2})}=\frac{3\pi}{4}$ RECALL: $\arctan{(x)} = \theta \longrightarrow \tan{\theta} = x$ Use the rule above to obtain: $\arctan{(\frac{x}{2})} = \frac{3\pi}{4} \\\tan{(\frac{3\pi}{4})}=\frac{x}{2} \\-1=\frac{x}{2} \\-1(2)=x \\-2=x$
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