SOLUTION: Rewrite the expression as an algebraic expression in x. tan(sin^-1(x))

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Question 1060228: Rewrite the expression as an algebraic expression in x.
tan(sin^-1(x))
Found 2 solutions by stanbon, ikleyn:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
write the expression as an algebraic expression in x.
tan(sin^-1(x))
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Tangent of the angle whose sin = x
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By definition sin = opp/hyp; so opp = x and hyp = 1.
The adj = sqrt[x^2 + 1]
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Ans: Tan = opp/adj = x/sqrt[x^2+1]
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Cheers,
Stan H.
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Answer by ikleyn(52915) About Me  (Show Source):
You can put this solution on YOUR website!
.
write the expression as an algebraic expression in x.
tan(sin^-1(x))
-----
Tangent of the angle whose sin = x
------
By definition sin = opp/hyp; so opp = x and hyp = 1.
The adj = sqrt(1-x^2)
-------
Ans: Tan = opp/adj = x/sqrt(1-x^2)