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If tan βˆ’1 x = y, then:

(a) βˆ’1 < y < 1Β  Β  Β  Β  Β  Β  Β  Β (b) (-Ο€)/2 ≀ y ≀ Ο€/2

(c) (-Ο€)/2 < y < Ο€/2 Β  Β Β  (d) y ∈ {(-Ο€)/2,Ο€/2}


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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)

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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.