How do you use the double angle or half angle formulas to simplify #f(θ) = (cos θ − 3 sin θ)^2#? Trigonometry Trigonometric Identities and Equations Double Angle Identities 1 Answer P dilip_k · Zor Shekhtman Jun 27, 2016 #f(theta)=(costheta-3sintheta)^2# #=cos^2theta-6sinthetacostheta+9sin^2theta# #=1/2(1+cos2theta)-3sin2theta+9/2(1-cos2theta)# #=5-4cos2theta-3sin2theta# 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 1367 views around the world You can reuse this answer Creative Commons License