Answer
$\frac{\sqrt3+1}{2\sqrt2}$
Work Step by Step
Using the formula $\sin(A+B)=\sin A\cos B+\cos A\sin B$ I get: $\sin75=\sin30\cos45+\cos30\sin45=0.5\frac{1}{\sqrt2}+\frac{\sqrt3}{2}\frac{1}{\sqrt2}=\frac{\sqrt3+1}{2\sqrt2}$
Trigonometry 7th Edition
by McKeague, Charles P.; Turner, Mark D.
Published by
Cengage Learning
ISBN 10:
1111826854
ISBN 13:
978-1-11182-685-7
Chapter 8 - Section 8.2 - Trigonometric Form for Complex Numbers - 8.2 Problem Set - Page 433: 74
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