SOLUTION: Composite trig function problem?
Let f(x) = 4x/(√(1-x^2)) and g(t) = sin(t) for 0<t<π/2
Find (f º g)(t) and simplify so that there are no radicals in the function. W
Algebra.Com
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) (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)))
-----
= 4sin(t)/sqrt(cos^2(t)
= 4sin(t)/cos(t)
= 4tan(t)
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Cheers,
Stan H.
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