Question #81259

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Answer 1 · 2017-05-01T15:41:37

$y = x/(sqrt(1-x^2)$

$y = tan(arcsin x)$

Pose $t = arcsin x$ so that $sint = x$

We have then:

$cost = sqrt (1-x^2)$

and:

$tant = sint/cost = x/(sqrt(1-x^2)$

Then:

$y = tan(arcsin x) = tan t = x/(sqrt(1-x^2)$