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

1 Answer
Jul 18, 2017

a = 1/2

Explanation:

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