Trigonometry 7th Edition

Published by Cengage Learning
ISBN 10: 1111826854
ISBN 13: 978-1-11182-685-7

Chapter 4 - Section 4.7 - Inverse Trigonometric Functions - 4.7 Problem Set - Page 261: 45

Answer

$-70^{\circ}$

Work Step by Step

First, ensure that your calculator is in radians. On your graphing calculator, press the following sequence of buttons: 1. TAN$^{-1}$ 2. ( 3. -2.748 4. ) 5. ENTER Therefore, $arctan(-2.748)=tan^{-1}(-2.748)=-1.222$ radians. Then, convert this number to degrees by multiplying by $\frac{180}{\pi}$. $-1.222radians=(-1.222(\frac{180}{\pi}))^{\circ}=-70^{\circ}$.
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