Question

Find the exact value by using a half-angle identity.

sin five pi divided by twelve

Answer 1

\[\sin (5\pi/12)\]

Answer 2

@sleepyjess

Answer 3

do you know if they will be online soon?

Answer 4

HINT:\[\frac{5\pi}{12}=\frac{6\pi}{12}-\frac{\pi}{12}\]

Answer 5

i'm really bad at these so i dont know what to do with that

Answer 6

@asnaseer can you help me more

Answer 7

what rules are you aware of with sin?

Answer 8

the half angle identity is \[\sin(x/2) = +or- \sqrt{\frac{ 1-cosx }{ 2 }}\]

Answer 9

@asnaseer

Answer 10

You will need to make use of these two identities here:\[\sin(\frac{\pi}{2}-\theta)=\cos(\theta)\]and:\[\cos(2\theta)=2\cos^2(\theta)-1\]you will also need to know some common sin/cos values, e.g.:\[\cos(30^{\circ})=\cos(\frac{\pi}{6})=\frac{\sqrt{3}}{2}\]

Answer 11

so its