Question

The solution of the inequality (tan^-1x)^2– 3 tan-1 x+2 >_0 is​

Answer 1

hey mate here is ur answer:-

let tan^(-1)x=y

y^2-3y+2>_0

y^2-2y-y+2>_0

y(y-2)-1(y-2)>_0

(y-2)(y-1)>_0

now using canchy rule

y lies from (-infinity,1] union [2,infinity)

y=tan^(-1)x

therefore

tan^(-1)x lies from (-infinity,1] union [2,infinity)

hope it helps.

pls mark as brainliest I need it.

-vinay :-)

Answer 2

ANSWER

take

tan^-1x = y

then our equation is

x^2-3x+2>0

by middle term spliiting

(x-1) (x-2) >0

use wavy curve method

see attachment

mark me as brainliest