Answer
$\frac{4}{3}$
Work Step by Step
Step 1. Letting $sin^{-1}(\frac{4}{5})=u$, we have $sin(u)=\frac{4}{5}$, thus $tan(u)=\frac{4}{3}$
Step 2. We have $cos^{-1}(1)=0$
Step 3. $tan(u+0)=tan(u)=\frac{4}{3}$
Precalculus (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0-32197-907-9
ISBN 13:
978-0-32197-907-0
Chapter 7 - Analytic Trigonometry - 7.5 Sum and Difference Formulas - 7.5 Assess Your Understanding - Page 489: 85
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