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

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Question 923776: Composite trig function problem?
Let f(x) = 4x/(√(1-x^2)) and g(t) = sin t for 0 < t < π/2
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) =

Thank you

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
(f º g)(t) is the same as


which means t is in quadrant I


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Start with f(x)


Replace every x with g(t)


Replace every g(t) on the right side with


Use a trig identity


Take the square root. t is in quadrant I, so is positive.

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Let me know if that helps or not. Thanks.

If you need more help, feel free to email me at jim_thompson5910@hotmail.com

My Website: http://www.freewebs.com/jimthompson5910/home.html

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