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

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


   



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

Find (f º g)(t) and simplify. Write your answer in terms of sin t and cos t.
(f º g)(t) =
Please explain
Thank you

Answer by stanbon(75887) About Me  (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
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Find (f º 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)
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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) =