document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1155697>Question 1155697</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If sec(A) = \sqrt(65), and A is in Quadrant 1, find Sin2A and SinA/2. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #778332 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=778332\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sec%28A%29+=+sqrt%2865%29 ALIGN=MIDDLE  ALT=\"sec%28A%29+=+sqrt%2865%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A ALIGN=MIDDLE  ALT=\"A\"   DISABLED_style= \"max-width:90%; height:auto;\" > is in Quadrant 1, \r<BR>\n" );
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document.write( "find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%282A%29 ALIGN=MIDDLE  ALT=\"sin%282A%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28A%2F2%29 ALIGN=MIDDLE  ALT=\"sin%28A%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "use identity:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sec+%28A%29=1%2Fcos%28A%29 ALIGN=MIDDLE  ALT=\"sec+%28A%29=1%2Fcos%28A%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=cos%28A%29=1%2Fsec%28A%29 ALIGN=MIDDLE  ALT=\"cos%28A%29=1%2Fsec%28A%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >......plug in given\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28A%29=1%2Fsqrt%2865%29 ALIGN=MIDDLE  ALT=\"cos%28A%29=1%2Fsqrt%2865%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "use identity:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%5E2%28A%29%2Bcos%5E2%28A%29=1 ALIGN=MIDDLE  ALT=\"sin%5E2%28A%29%2Bcos%5E2%28A%29=1\"   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%5E2%28A%29=1-cos%5E2%28A%29 ALIGN=MIDDLE  ALT=\"sin%5E2%28A%29=1-cos%5E2%28A%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >..........<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%5E2%28A%29=%281%2Fsqrt%2865%29%29%5E2=1%2F65 ALIGN=MIDDLE  ALT=\"cos%5E2%28A%29=%281%2Fsqrt%2865%29%29%5E2=1%2F65\"   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%5E2%28A%29=1-1%2F65 ALIGN=MIDDLE  ALT=\"sin%5E2%28A%29=1-1%2F65\"   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%5E2%28A%29=64%2F65 ALIGN=MIDDLE  ALT=\"sin%5E2%28A%29=64%2F65\"   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%28A%29=sqrt%2864%2F65%29 ALIGN=MIDDLE  ALT=\"sin%28A%29=sqrt%2864%2F65%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%28A%29=sqrt%2864%29%2Fsqrt%2865%29 ALIGN=MIDDLE  ALT=\"sin%28A%29=sqrt%2864%29%2Fsqrt%2865%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%28A%29=8%2Fsqrt%2865%29 ALIGN=MIDDLE  ALT=\"sin%28A%29=8%2Fsqrt%2865%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "use identity:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%282A%29+=2sin%28A%29%2Acos%28A%29 ALIGN=MIDDLE  ALT=\"sin%282A%29+=2sin%28A%29%2Acos%28A%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%282A%29+=2%288%2Fsqrt%2865%29%29%2A%281%2Fsqrt%2865%29%29 ALIGN=MIDDLE  ALT=\"sin%282A%29+=2%288%2Fsqrt%2865%29%29%2A%281%2Fsqrt%2865%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=sin%282A%29+=16%2F%28sqrt%2865%29%2Asqrt%2865%29%29 ALIGN=MIDDLE  ALT=\"sin%282A%29+=16%2F%28sqrt%2865%29%2Asqrt%2865%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=sin%282A%29+=16%2F65 ALIGN=MIDDLE  ALT=\"sin%282A%29+=16%2F65\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "use identity:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28A%2F2%29=2+sin%28A%2F4%29+%2Acos%28A%2F4%29 ALIGN=MIDDLE  ALT=\"sin%28A%2F2%29=2+sin%28A%2F4%29+%2Acos%28A%2F4%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%28A%2F2%29=2%28%288%2Fsqrt%2865%29%29%2F4%29%2A%28%281%2Fsqrt%2865%29%29%2F4%29 ALIGN=MIDDLE  ALT=\"sin%28A%2F2%29=2%28%288%2Fsqrt%2865%29%29%2F4%29%2A%28%281%2Fsqrt%2865%29%29%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28A%2F2%29=2%282%2Fsqrt%2865%29%29%2A%281%2F%284sqrt%2865%29%29%29 ALIGN=MIDDLE  ALT=\"sin%28A%2F2%29=2%282%2Fsqrt%2865%29%29%2A%281%2F%284sqrt%2865%29%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=sin%28A%2F2%29=+%284%2Fsqrt%2865%29%29%2A%281%2F%284sqrt%2865%29%29%29 ALIGN=MIDDLE  ALT=\"sin%28A%2F2%29=+%284%2Fsqrt%2865%29%29%2A%281%2F%284sqrt%2865%29%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=sin%28A%2F2%29=+1%2F65 ALIGN=MIDDLE  ALT=\"sin%28A%2F2%29=+1%2F65\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );