Question #78bc0 Trigonometry Trigonometric Identities and Equations Double Angle Identities 1 Answer P dilip_k Mar 1, 2017 #6sin^4x# #=6/4xx(2sin^2x)^2# #=3/2xx(1-cos2x)^2# #=3/2xx(1-2cos2x+cos^2 2x)# #=3/2xx(1-2cos2x+1/2(1+cos4x))# #=3/4xx(3-4cos2x+cos4x))# 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 a double-angle identity to find the exact value of sin 120°? 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#? See all questions in Double Angle Identities Impact of this question 1627 views around the world You can reuse this answer Creative Commons License