SOLUTION: Composite trig function problem? Let f(x) = 4x/(&#8730;(1-x^2)) and g(t) = sin(t) for 0<t<&#960;/2 Find (f º g)(t) and simplify so that there are no radicals in the function. W

Algebra ->  Trigonometry-basics -> SOLUTION: Composite trig function problem? Let f(x) = 4x/(&#8730;(1-x^2)) and g(t) = sin(t) for 0<t<&#960;/2 Find (f º g)(t) and simplify so that there are no radicals in the function. W      Log On


   

Question 923768: Composite trig function problem?
Let f(x) = 4x/(√(1-x^2)) and g(t) = sin(t) for 0 Find (f º g)(t) and simplify so that there are no radicals in the function. 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!
Composite trig function problem?
Let f(x) = 4x/(√(1-x^2)) and g(t) = sin(t) for 0 Find (f º g)(t) and simplify so that there are no radicals in the function. Write your answer in terms of sin(t) and cos(t).
(f º g)(t) = f[sin(t)] = (4sin(t)/sqrt(1-sin^2(t)))
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= 4sin(t)/sqrt(cos^2(t)
= 4sin(t)/cos(t)
= 4tan(t)
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Cheers,
Stan H.
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