Domain of y=arcsin(tanx) (1 Viewer)

Kimyia

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Can anyone please show me how you would work out the domain of y=arcsin(tanx). I'm not sure how to go about working it out. Thank you!
 

SpiralFlex

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Off study English kimmy. GL for tomorrow!
 
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Kimyia

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Thank you Spi! That makes sense now :D
 
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Well the domain of tanx is all x except x=/=k pi/2 , k integral.

Now sin^-1 is only defined for -1 to 1. So you can only put in values of 'u' where u=tanx from -1 to 1. Where does -1 <= tanx <= 1? Well from -pi/4 < x < pi/4. and then the left branch of that, -5pi/4 <= x <= -3pi/4 and then the branch to the right, 3pi/4 <=x <= 5pi/4 etc.
 

Kimyia

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its alright, thank you for your help!
 

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