Trigonometry (10th Edition)

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

Chapter 6 - Inverse Circular Functions and Trigonometric Equations - Section 6.1 Inverse Circular Functions - 6.1 Exercises - Page 260: 98

Answer

$0.716386406$

Work Step by Step

cot (arccos $0.58236841)=\cot (\cos^{-1} 0.58236841)$ To find $\cot (\cos^{-1} 0.58236841)$, we first need to find $\cos^{-1} 0.58236841$, Ensuring that the calculator is in radians, we type $\cos^{-1} 0.58236841$ into the calculator and solve: $\cos^{-1} 0.58236841\approx0.9491572238$ $\cot (\cos^{-1} 0.58236841)$ now becomes $\cot (0.9491572238)$. We know that $\cot (0.9491572238)=\frac{1}{\tan (0.9491572238)}$ Typing $\frac{1}{\tan (0.9491572238)}$ into the calculator and solving: $\frac{1}{\tan (0.9491572238)}\approx0.716386406$ Therefore, $\cot (\cos^{-1} 0.58236841)\approx0.716386406$.
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