Answer
$\frac{336}{625}$
Work Step by Step
Let $cos^{-1}\frac{7}{25}=y$, we have $cos(y)=\frac{7}{25}, sin(y)=\frac{24}{25},$ and
$sin(2cos^{-1}\frac{7}{25})=sin(2y)
=2sin(y)cos(y)=\frac{336}{625}$
Precalculus: Mathematics for Calculus, 7th Edition
by Stewart, James; Redlin, Lothar; Watson, Saleem
Published by
Brooks Cole
ISBN 10:
1305071751
ISBN 13:
978-1-30507-175-9
Chapter 7 - Section 7.3 - Double-Angle, Half-Angle, and Product-Sum Formulas - 7.3 Exercises - Page 561: 47
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