Domain and range of inverse trig functions (1 Viewer)

[egnaro]

Could someone tell me the D and R of inverse trig functions if they were set in this order:

AarcsinBx

AarccosBx

AarctanBx


Let A and B be integers and let x be theta

thanks

 

[withoutaface]

AarcsinBx:

Domain:

-1<=Bx<=1
-1/B<=x<=1/B

Range

-pi/2<=y/A<=pi/2
-Api/2<=y<=Api/2

AarccosBx

Domain:

-1<=Bx<=1
-1/B<=x<=1/B

Range:

0<=y/A<=pi
0<=y<=Api

AarctanBx

Domain:

all real x

Range:

-pi/2 < y/A < pi/2
-Api/2 < y < Api/2

 

[egnaro]

thanks a lot