Question

Find an exact value.

sine of eleven pi divided by twelve.

Answer 1

.0472694409

Answer 2

using sum and difference formulas

Answer 3

oh then i have no idea jordan :p

Answer 4

http://www.youtube.com/watch?v=w3Yak_SQdjM

Answer 5

oops. that video is pi/12. but the concept is similar

Answer 6

sin 11pi / 12 actually equals sin pi / 12

Answer 7

\(\bf sin\left(\frac{11\pi}{12}\right)\\
\cfrac{11\pi}{12} \implies \cfrac{8}{12}+\cfrac{3}{12}
\implies \cfrac{2}{3}+\cfrac{1}{4}\\
sin\left(\frac{11\pi}{12} \right) \implies sin\left(\frac{2\pi}{3}+\frac{\pi}{4} \right)\)

Answer 8

so add them up, and use your Unit Circle to get those known values