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)#