Check sibling questions

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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