document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1159664>Question 1159664</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Make the trigonometric substitution<BR>\n" );
document.write( "x = a sec θ for 0 < θ < π/2 and a > 0.<BR>\n" );
document.write( "Simplify the resulting expression.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%5E2-a%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28x%5E2-a%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >/x\r<BR>\n" );
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document.write( "I got asinθ which is wrong. Where did I go wrong?\r<BR>\n" );
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document.write( "This is my work: <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%5E2-a%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28x%5E2-a%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >/x   =<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28a%5E2%28sec%5E2%CE%B8-1%29%29 ALIGN=MIDDLE  ALT=\"sqrt%28%28a%5E2%28sec%5E2%CE%B8-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >/2   =<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28a%5E2%28tan%5E2%CE%B8%29 ALIGN=MIDDLE  ALT=\"sqrt%28%28a%5E2%28tan%5E2%CE%B8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >/asecθ =<BR>\n" );
document.write( "=atan/asecθ<BR>\n" );
document.write( "=asin/cosθx(cosθ/1)<BR>\n" );
document.write( "= asinθ </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #782727 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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/cgi-bin/show-face.mpl?user=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=782727\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%5E2-a%5E2%29%2Fx ALIGN=MIDDLE  ALT=\"sqrt%28x%5E2-a%5E2%29%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28a%2Asec%28theta%29%29%5E2-a%5E2%29%2F%28a%2Asec%28theta%29%29 ALIGN=MIDDLE  ALT=\"sqrt%28%28a%2Asec%28theta%29%29%5E2-a%5E2%29%2F%28a%2Asec%28theta%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28a%5E2%2Asec%5E2%28theta%29-a%5E2%29%2F%28a%2Asec%28theta%29%29 ALIGN=MIDDLE  ALT=\"sqrt%28a%5E2%2Asec%5E2%28theta%29-a%5E2%29%2F%28a%2Asec%28theta%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28a%5E2%28sec%5E2%28theta%29-1%29%29%2F%28a%2Asec%28theta%29%29 ALIGN=MIDDLE  ALT=\"sqrt%28a%5E2%28sec%5E2%28theta%29-1%29%29%2F%28a%2Asec%28theta%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Asqrt%28tan%5E2%28theta%29%29%2F%28a%2Asec%28theta%29%29 ALIGN=MIDDLE  ALT=\"a%2Asqrt%28tan%5E2%28theta%29%29%2F%28a%2Asec%28theta%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28cross%28a%29%2Atan%28theta%29%29%2F%28cross%28a%29%2Asec%28theta%29%29 ALIGN=MIDDLE  ALT=\"%28cross%28a%29%2Atan%28theta%29%29%2F%28cross%28a%29%2Asec%28theta%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%28theta%29%2Fsec%28theta%29 ALIGN=MIDDLE  ALT=\"tan%28theta%29%2Fsec%28theta%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.........<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%28theta%29=sin%28theta%29%2Fcos%28theta%29 ALIGN=MIDDLE  ALT=\"tan%28theta%29=sin%28theta%29%2Fcos%28theta%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sec%28theta%29=1%2Fcos%28theta%29 ALIGN=MIDDLE  ALT=\"sec%28theta%29=1%2Fcos%28theta%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sin%28theta%29%2Fcos%28theta%29%29%2F%281%2Fcos%28theta%29%29 ALIGN=MIDDLE  ALT=\"%28sin%28theta%29%2Fcos%28theta%29%29%2F%281%2Fcos%28theta%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sin%28theta%29%2Fcross%28cos%28theta%29%291%29%2F%281%2Fcross%28cos%28theta%29%291%29 ALIGN=MIDDLE  ALT=\"%28sin%28theta%29%2Fcross%28cos%28theta%29%291%29%2F%281%2Fcross%28cos%28theta%29%291%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28theta%29 ALIGN=MIDDLE  ALT=\"sin%28theta%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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