Question

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

sine of five pi divided by twelve

A: one half times the square root of quantity two plus square root of three
B: the square root of quantity two plus square root of three
C: one half times the square root of quantity two minus square root of three
D: the square root of quantity two minus square root of three

Answer 1

\[\large\rm \sin\left(\frac{5\pi}{12}\right)=\sin\left(\frac{\color{orangered}{5\pi/6}}{2}\right)\]

Answer 2

Recall your Half-Angle Identity:\[\large\rm \sin\left(\frac{\color{orangered}{\theta}}{2}\right)=\pm\sqrt{\frac{1-\cos\color{orangered}{\theta}}{2}}\]

Answer 3

yep i remeber it but i am stuck on this one problem and have been stuck for hours need to get it over with

Answer 4

where you see a \(\theta\) put \(\frac{5\pi}{6}\) that is all

Answer 5

do you know \[\cos(\frac{5\pi}{6})\]?

Answer 6

"no" is a fine answer, just asking

Answer 7

right?