Answer
$\frac{\sqrt 5}{5}$
Work Step by Step
Let $cos^{-1}\frac{3}{5}=t$, we have $cos(t)=\frac{3}{5}$ and
$sin\frac{t}{2}=\sqrt {\frac{1-cos(t)}{2}}=\sqrt {\frac{1-3/5}{2}}=\frac{\sqrt 5}{5}$
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Chapter 6 - Analytic Trigonometry - Chapter Test - Page 529: 19
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