Question

find the exact value of the expression

sin(5pi/12)

Answer 1

.02284431908
i used a calculator

Answer 2

\[\sin \frac{5\pi}{12}=\sin (\frac{3\pi}{12}+\frac{2\pi }{12})=\sin (\frac{\pi}{4}+\frac{\pi}{6})\]

Answer 3

Now use this formula:
\[\sin (a+b)=\sin a \cos b+\cos a \sin b\]