Question

Find the exact value of
sin(pi/12)
using the Addition/Sub formulas

Answer 1

@Astrophysics

Answer 2

@jim_thompson5910

Answer 3

hint: \[\Large \sin\left(\frac{\pi}{12}\right) = \sin\left(\frac{\pi}{3} - \frac{\pi}{4}\right)\]
then use the identity sin(x-y) = sin(x)*cos(y) - cos(x)*sin(y)

Answer 4

alternatively, you can use the fact that

\[\Large \sin\left(\frac{\pi}{12}\right) = \sin\left(\frac{1}{2}*\frac{\pi}{6}\right)\]
and use the half angle identity for sine. But it looks like they want you to use the first method

Answer 5

ooh thanks! Yes, I got the 1/2 * pi/6 but couldn't figure that out with the addition/subtraction and had forgotten about the half angle identity. Thanks! :)

Answer 6

(sorry for taking long to respond, I was having dinner and forgot)