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)

 

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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.