document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=920587>Question 920587</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a. Let<BR>\n" );
document.write( "f (x) =&#8730;(49 - x^2)/x\r<BR>\n" );
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document.write( "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<BR>\n" );
document.write( "functions in a denominator).\r<BR>\n" );
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document.write( "b. Simplify and evaluate: cos(2&#960;/15)cos(7&#960;/15)+ sin(2&#960;/15)sin(7&#960;/15)\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #558470 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=558470\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a. Let<BR>\n" );
document.write( " f (x) =&#8730;(49 - x^2)/x and g(t) = 7 sin t for 0 &#8804; t < &#960;/2. <BR>\n" );
document.write( "Find f(g(t)) and simplify to a single trig function (no trig  functions in a denominator).<BR>\n" );
document.write( "f(g(t)) = f(7*sin(t)) = sqrt[49-49sin^2(t)] = 7sqrt(1-sin^2(t)) = 7cos(t)<BR>\n" );
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document.write( "b. Simplify and evaluate: cos(2&#960;/15)cos(7&#960;/15)+ sin(2&#960;/15)sin(7&#960;/15)<BR>\n" );
document.write( "= cos[(2pi/15)-(7pi/15)] = cos[-pi/3] = cos(pi/3) = 1/2<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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