Rewrite the expression as an algebraic expression in x.
tan(sin−1(x))

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14-10-2016
Mathematics

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Rewrite the expression as an algebraic expression in x.
tan(sin−1(x))

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toporc toporc · Answer 1 · 2016-10-14T05:03:13+02:00

toporc toporc

14-10-2016

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

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Rewrite the expression as an algebraic expression in x. tan(sin−1(x))

Respuesta :

Otras preguntas

Rewrite the expression as an algebraic expression in x.
tan(sin−1(x))