document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=923768>Question 923768</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Composite trig function problem?<BR>\n" );
document.write( "Let f(x) = 4x/(&#8730;(1-x^2)) and g(t) = sin(t) for 0<t<&#960;/2\r<BR>\n" );
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document.write( "Find (f º g)(t) and simplify so that there are no radicals in the function. Write your answer in terms of sin(t) and cos(t).\r<BR>\n" );
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document.write( "(f º g)(t) = \r<BR>\n" );
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document.write( "Please explain<BR>\n" );
document.write( "Thank you  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #560355 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=560355\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Composite trig function problem?<BR>\n" );
document.write( " Let f(x) = 4x/(&#8730;(1-x^2)) and g(t) = sin(t) for 0 Find (f º g)(t) and simplify so that there are no radicals in the function. Write your answer in terms of sin(t) and cos(t).<BR>\n" );
document.write( " (f º g)(t) = f[sin(t)] = (4sin(t)/sqrt(1-sin^2(t)))<BR>\n" );
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document.write( "= 4sin(t)/sqrt(cos^2(t)<BR>\n" );
document.write( "= 4sin(t)/cos(t)<BR>\n" );
document.write( "= 4tan(t)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( " </SPAN>\n" );
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