Question

Find the exact value by using a half-angle identity.
sin(5π/12)

Answer 1

\[|\sin \theta/2| = \sqrt{\frac{ 1-\cos \theta }{ 2 }}\] Let 5pi/12 be your theta, so plug in:
\[| \sin 5\pi / 12 | = \sqrt{ .5 (1- \cos 5\pi / 6)}\] Can you solve it from here?