Answer
$\frac{1+\sqrt3}{2\sqrt2}$.
Work Step by Step
We know that $\sin(A/2)=\pm\sqrt{\frac{1-\cos A}{2}}$.
Hence here $\sin 75=\pm\sqrt{\frac{1-\cos 150}{2}}=\pm\sqrt{\frac{1-(-\frac{\sqrt3}{2})}{2}}=\frac{1+\sqrt3}{2\sqrt2}$.
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 5 - Test - Page 315: 17
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