document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=926657>Question 926657</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Let g(x) = x&#8730;(64x^2+25) and h(t)=5/8 cot(t) for 0<t<&#960;/2 \r<BR>\n" );
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document.write( "Find g(h(t)), simplify and write the answer in terms of sin(t) and cos(t) \r<BR>\n" );
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document.write( "Thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #562382 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=562382\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let g(x) = x&#8730;(64x^2+25) and h(t)=5/8 cot(t) for 0 Find g(h(t)), simplify and write the answer in terms of sin(t) and cos(t)<BR>\n" );
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document.write( "g(h(t)) = g((5/8)cot(t))<BR>\n" );
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document.write( "= sqrt[(64[5/8cot(t)]^2+25]<BR>\n" );
document.write( "----<BR>\n" );
document.write( "= sqrt[64*(25/64cot^2(t)+25]<BR>\n" );
document.write( "------<BR>\n" );
document.write( "= sqrt[[25(cot^2(t)+1)]<BR>\n" );
document.write( "----<BR>\n" );
document.write( "= sqrt[25csc^2(t)]<BR>\n" );
document.write( "----<BR>\n" );
document.write( "= 5csc(t)<BR>\n" );
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document.write( "= 5/sin(t)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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