kennedymck44 kennedymck44

13-10-2016
Mathematics

Answered

Rewrite the expression as an algebraic expression in x.

tan(sin−1(x))

Verified Answer :

13-10-2016

Let \(tan^{-1} x=\alpha\)
Then it can be shown by using a right-angled triangle and the rule of Pythagoras that \(\alpha= tan^{-1} \frac{x}{ \sqrt{1-x^{2}} }\)
Therefore
\(tan(sin ^{-1} (x))=\frac{x}{ \sqrt{1-x^{2}} }\)

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