Question 923454
{{{ Let f (x) = 6x/(sqrt(1 + x^2)) }}}   
and    
{{{ g(t)    = tan(t) for 0 < t < pi/2 }}}

Find (f º g)(t) in terms of sin t and cos t and simplify.

(f º g)(t) = 
***
{{{f(g(t))
=6tant/sqrt(1+tan^2(t))
=6tant/sqrt(sec^2(t))=(6sint/cost)/sqrt(sec^2(t))=(6sint/cost)/sec(t))}}}
={{{(6sint/cost)/sect=(6sint/cost)/(1/cost)=6sint}}}