Check sibling questions

If tan −1 x = y, then:

(a) −1 < y < 1               (b) (-π)/2 y ≤ π/2

(c) (-π)/2 < y < π/2      (d) y ∈ {(-π)/2,π/2}


Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class


Question 36 If tanβˆ’1 x = y, then: (a) βˆ’1 < y < 1 (b) (βˆ’πœ‹)/2 ≀ y ≀ πœ‹/2 (c) (βˆ’πœ‹)/2 < y < πœ‹/2 (d) y ∈ {(βˆ’πœ‹)/2,πœ‹/2}y = tanβˆ’1 x We know that tan x is not defined at x = (βˆ’πœ‹)/2, and x = πœ‹/2 Thus, Range of tanβˆ’1 π‘₯ excludes (βˆ’πœ‹)/2 and πœ‹/2 So, the correct answer is (C)

Ask a doubt
Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.