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# How do you find the exact value of sin((3pi)/4)?

Nov 30, 2016

$\frac{1}{\sqrt{2}}$

#### Explanation:

$\sin \left[\frac{3 \pi}{4}\right] = \sin \left[\frac{3 \cdot 180}{4}\right]$= sin 135 degree
sin(90+45) degree = cos 45 degree = $\frac{1}{\sqrt{2}}$