#2tanx - tan2x + 2a = 1 - tan2xtan^2x# What is a?

Question

8107 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-07-18T03:08:04

#a = 1/2#

#2 tan x - tan 2x + 2a = 1 - tan 2x tan^2 x# #->i#

#-> tan 2x = (2 tan x)/(1 - tan^2 x)#

#-> tan 2x ( 1 - tan^2 x) = 2 tan x#

#-> tan 2x - tan 2x tan^2 x = 2 tan x# ---> plug in #i

#cancel(tan 2x) - cancel(tan 2x tan^2 x) - cancel(tan 2x) + 2a = 1 - cancel(tan 2x tan^2 x)#

2a = 1

#a = 1/2#