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: 97

Answer

$0.1234399811$

Work Step by Step

tan (arcsin $0.12251014)=\tan (\sin^{-1} 0.12251014)$ To find $\tan (\sin^{-1} 0.12251014)$, we first need to find $\sin^{-1} 0.12251014$. Ensuring that the calculator is in radians, we type $\sin^{-1} 0.12251014$ into the calculator and solve: $\sin^{-1} 0.12251014\approx0.1228186821$ $\tan (\sin^{-1} 0.12251014)$ now becomes $\tan (0.1228186821)$. Typing $\tan (0.1228186821)$ into the calculator and solving: $\tan (0.1228186821)\approx0.1234399811$ Therefore, $\tan (\sin^{-1} 0.12251014)\approx0.1234399811$
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