Domain is what goes in,

Range is what comes out

 

For inverse functions

x goes in, and angle comes out.

Domain and Range of Inverse Trigonometry Functions.jpg

So, domain is all possible values of x

and range is all possible values of angles

 

Domain and Range of Trigonometry Functions

 

Domain

Range

sin -1

[–1, 1]

[-π/2,π/2] 

cos -1

[–1, 1]

[0,π] 

tan -1

R

(-π/2,π/2)

cosec -1

R – (–1, 1)

[π/2,π/2] - {0}

sec -1

R – (–1, 1)

[0,π]-{π/2}

cot -1

R

(0,π)

 

  1. Chapter 2 Class 12 Inverse Trigonometric Functions
  2. Concept wise

About the Author

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.