Question 920587
a. Let
 f (x) =&#8730;(49 - x^2)/x and g(t) = 7 sin t for 0 &#8804; t < &#960;/2. 
Find f(g(t)) and simplify to a single trig function (no trig  functions in a denominator).
f(g(t)) = f(7*sin(t)) = sqrt[49-49sin^2(t)] = 7sqrt(1-sin^2(t)) = 7cos(t)
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b. Simplify and evaluate: cos(2&#960;/15)cos(7&#960;/15)+ sin(2&#960;/15)sin(7&#960;/15)
= cos[(2pi/15)-(7pi/15)] = cos[-pi/3] = cos(pi/3) = 1/2
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Cheers,
Stan H.
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