Question 923455
Let f (x) =  8x/(sqrt(1  -  x^2))
and
 g(t) = sin(t) for 0 < t < pi/2
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Find (f º g)(t) and simplify.
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f[sin(t)] = 8sin(t)/sqrt(1-sin^2(t))
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= 8sin(t)/sqrt(cos^2(t))
= 8 sin(t)/cos(t)
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= 8*tan(t)
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Cheers,
Stan H.
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Write your answer in terms of sin t and cos t.

(f º g)(t) =