Question 926160
Let  g(t) = (2/7) csc(t) 

for {{{ 0 < t < pi/2 }}}

and 

f(x) =  (49x^2 - 4)^(3/2)/(x) 

Find (f º g)(t) in terms of sin(t) and cos(t) and simplify so that it does not contain any radicals in the denominator. 

(f º g)(t) = f[(2/7)csc(t)] = 49(4/49)csc^2(t)^(3/2)/[(2/7csc(t)]
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= (4/(2/7)csc^(1/2)(t)
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= 14*(1/(sin^(1/2)(t)))
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= 14*(sin^(1/2)(t)/sin(t))
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Cheers,
Stan H.
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