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}


Transcript

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)

  1. Class 12
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About the Author

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo