How do you use a double-angle identity to find the exact value of sin 120°? Trigonometry Trigonometric Identities and Equations Double Angle Identities 1 Answer Wataru Oct 24, 2014 Since #sin2theta=2sin theta cos theta#, we have #sin120^circ=2sin60^circcos60^circ=2cdot sqrt{3}/2 cdot 1/2=sqrt{3}/2#. I hope that this was helpful. Answer link Related questions What are Double Angle Identities? How do you use a double angle identity to find the exact value of each expression? How do you use double angle identities to solve equations? How do you find all solutions for #sin 2x = cos x# for the interval #[0,2pi]#? How do you find all solutions for #4sinthetacostheta=sqrt(3)# for the interval #[0,2pi]#? How do you simplify #cosx(2sinx + cosx)-sin^2x#? If #tan x = 0.3#, then how do you find tan 2x? If #sin x= 5/3#, what is the sin 2x equal to? How do you prove #cos2A = 2cos^2 A - 1#? How can tan 4x be simplified or sec 2x? See all questions in Double Angle Identities Impact of this question 15842 views around the world You can reuse this answer Creative Commons License