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Mathematics 12 Online
OpenStudy (brinazarski):

Given that Arcsinx = y, find tany in terms of x.

OpenStudy (brinazarski):

Can someone help me figure out how to do this >.<

OpenStudy (anonymous):

you are looking for \(\tan(\arcsin(x))\)

OpenStudy (anonymous):

|dw:1357523357967:dw|

OpenStudy (anonymous):

there is a picture of an angle whose sine is \(x\) you need the adjacent side, which by pythagoras is \(\sqrt{1-x^2}\)

OpenStudy (anonymous):

|dw:1357523438341:dw|

OpenStudy (anonymous):

ans so \[\tan(\arcsin(x))=\frac{x}{\sqrt{1-x^2}}\]

OpenStudy (brinazarski):

Brilliant, thanks :) That's it then?

OpenStudy (anonymous):

yup, that is it

OpenStudy (anonymous):

yw

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