SOLUTION: Let f (x) = 8x/(sqrt(1 - x^2)) and g(t) = sin(t) for 0 < t < pi/2 Find (f � g)(t) and simplify. Write your answer in terms of sin t and cos t. (f � g)(t) =

Question 923455: Let f (x) = 8x/(sqrt(1 - x^2))
and
g(t) = sin(t) for 0 < t < pi/2

Find (f � g)(t) and simplify. Write your answer in terms of sin t and cos t.
(f � g)(t) =
Please explain
Thank you
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Let f (x) = 8x/(sqrt(1 - x^2))
and
g(t) = sin(t) for 0 < t < pi/2
---------------------------------------
Find (f � g)(t) and simplify.
---
f[sin(t)] = 8sin(t)/sqrt(1-sin^2(t))
---
= 8sin(t)/sqrt(cos^2(t))
= 8 sin(t)/cos(t)
----
= 8*tan(t)
---------------
Cheers,
Stan H.
====================
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Write your answer in terms of sin t and cos t.
(f � g)(t) =

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