Answer
$\frac{1}{2}$
Work Step by Step
Use the Sum/Difference formula, we can get:
$sin80^\circ cos50^\circ-cos80^\circ sin50^\circ=sin(80^\circ-50^\circ)=sin30^\circ=\frac{1}{2}$
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 8 - Polar Coordinates; Vectors - Section 8.6 Vectors in Space - 8.6 Assess Your Understanding - Page 647: 82
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