Given #tantheta=3/4# and #pi<theta<(3pi)/2#, how do you find #tan2theta#? Trigonometry Trigonometric Identities and Equations Double Angle Identities 1 Answer Ratnaker Mehta Aug 7, 2017 # 24/7.# Explanation: We know that, #tan2theta=(2tantheta)/(1-tan^2theta).# #:. tan2theta=(2*3/4)/(1-9/16)=3/2*16/7=24/7.# 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 11808 views around the world You can reuse this answer Creative Commons License