document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1129886>Question 1129886</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Show the following identities. <BR>\n" );
document.write( "A).     <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cosx%2Bsinx%2Fcosx-sinx+-+cosx-sinx%2Fcosx%2Bsinx+=+2tan2x ALIGN=MIDDLE  ALT=\"cosx%2Bsinx%2Fcosx-sinx+-+cosx-sinx%2Fcosx%2Bsinx+=+2tan2x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "B).     <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%5E4theta+-+sin%5E4theta+=+cos+2theta ALIGN=MIDDLE  ALT=\"cos%5E4theta+-+sin%5E4theta+=+cos+2theta\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "C).    <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28cos%28alpha%2Bbeta%29%2Fsin+alpha+cos+beta+%2B+tan+beta%29+%28sin+alpha%2Fcos+alpha%29+=+1 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #746531 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=746531\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "A).    \r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28cos%28x%29%2Bsin%28x%29%29%2F%28cos%28x%29-sin%28x+%29%29-+%28cos%28x%29-sin%28x%29%29%2F%28cos%28x%29%2Bsin%28x+%29%29=+2tan%282x%29 ALIGN=MIDDLE   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=%28%28cos%28x%29%2Bsin%28x%29%29%5E2-+%28cos%28x%29-sin%28x%29%29%5E2%29%2F%28cos%5E2%28x%29-sin%5E2%28x%29%29=+2tan%282x%29 ALIGN=MIDDLE   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=%28cos%5E2%28x%29%2B2cos%28x%29sin%28x%29%2Bsin%5E2%28x%29-+%28cos%5E2%28x%29-2cos%28x%29sin%28x%29%2Bsin%5E2%28x%29%29%29%2F%28cos%5E2%28x%29-sin%5E2%28x%29%29=+2tan%282x%29 ALIGN=MIDDLE   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=%28cos%5E2%28x%29%2B2cos%28x%29sin%28x%29%2Bsin%5E2%28x%29-+cos%5E2%28x%29%2B2cos%28x%29sin%28x%29-sin%5E2%28x%29%29%2F%28cos%5E2%28x%29-sin%5E2%28x%29%29=+2tan%282x%29 ALIGN=MIDDLE   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=%282cos%28x%29sin%28x%29%2B2cos%28x%29sin%28x%29%29%2F%28cos%5E2%28x%29-1%2Bcos%5E2%28x%29%29=+2tan%282x%29 ALIGN=MIDDLE   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=%282cos%28x%29sin%28x%29%2B2cos%28x%29sin%28x%29%29%2F%282cos%5E2%28x%29-1%29=+2tan%282x%29 ALIGN=MIDDLE  ALT=\"%282cos%28x%29sin%28x%29%2B2cos%28x%29sin%28x%29%29%2F%282cos%5E2%28x%29-1%29=+2tan%282x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >..............use <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%282x%29+=+2sin%28x%29cos%28x%29 ALIGN=MIDDLE  ALT=\"sin%282x%29+=+2sin%28x%29cos%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2cos%5E2%28x%29-1=cos%282+x%29 ALIGN=MIDDLE  ALT=\"2cos%5E2%28x%29-1=cos%282+x%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%282x%29%2Bsin%282x%29%29%2Fcos%282+x%29+=+2tan%282x%29 ALIGN=MIDDLE  ALT=\"%28sin%282x%29%2Bsin%282x%29%29%2Fcos%282+x%29+=+2tan%282x%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=%282sin%282x%29%29%2Fcos%282+x%29+=+2tan%282x%29 ALIGN=MIDDLE  ALT=\"%282sin%282x%29%29%2Fcos%282+x%29+=+2tan%282x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "B).    \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%5E4%28theta%29+-+sin%5E4%28theta%29+=+cos%282theta%29 ALIGN=MIDDLE  ALT=\"cos%5E4%28theta%29+-+sin%5E4%28theta%29+=+cos%282theta%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=%28cos%5E2%28theta%29%29%5E2+-+%28sin%5E2%28theta%29%29%5E2+=+cos%282theta%29 ALIGN=MIDDLE  ALT=\"%28cos%5E2%28theta%29%29%5E2+-+%28sin%5E2%28theta%29%29%5E2+=+cos%282theta%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=%28%28cos%5E2%28theta%29+-+%281-cos%5E2%28theta%29%29%29%29%28cos%5E2%28theta%29+%2B+%281-cos%5E2%28theta%29%29%29+=+cos%282theta%29 ALIGN=MIDDLE   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=%28%28cos%5E2%28theta%29+-+1%2Bcos%5E2%28theta%29%29%28cos%5E2%28theta%29+%2B+1-cos%5E2%28theta%29%29%29+=+cos%282theta%29 ALIGN=MIDDLE   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=%28%282cos%5E2%28theta%29+-+1%29%281%29%29+=+cos%282theta%29 ALIGN=MIDDLE  ALT=\"%28%282cos%5E2%28theta%29+-+1%29%281%29%29+=+cos%282theta%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=2cos%5E2%28theta%29+-+1+=+cos%282theta%29 ALIGN=MIDDLE  ALT=\"2cos%5E2%28theta%29+-+1+=+cos%282theta%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%282theta%29++=+cos%282theta%29 ALIGN=MIDDLE  ALT=\"cos%282theta%29++=+cos%282theta%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "C).    <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28cos%28alpha%2Bbeta%29%2F%28sin%28alpha%29+cos%28beta%29%29+%2B+tan%28beta%29%29%28%28sin+%28alpha%29%29%2Fcos%28+alpha%29%29+=+1 ALIGN=MIDDLE   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=+%28%28cos%28alpha%29+cos%28beta%29+-+sin%28alpha%29+sin%28beta%29%29%2F%28sin%28alpha%29+cos%28beta%29%29+%2Btan%28beta%29%29%28tan+%28alpha%29%29+=+1 ALIGN=MIDDLE   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=+%28%28cos%28alpha%29+cos%28beta%29%29%2F%28sin%28alpha%29+cos%28beta%29%29+-+%28sin%28alpha%29+sin%28beta%29%29%2F%28sin%28alpha%29+cos%28beta%29%29+%2Btan%28beta%29%29%28tan%28alpha%29%29+=+1 ALIGN=MIDDLE   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=+%28%28cos%28alpha%29cross%28+cos%28beta%29%29%29%2F%28sin%28alpha%29+cross%28cos%28beta%29%29%29+-+%28cross%28sin%28alpha%29%29+sin%28beta%29%29%2F%28cross%28sin%28alpha%29%29+cos%28beta%29%29+%2Btan%28beta%29%29%28tan%28alpha%29%29+=+1 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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