document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1187011>Question 1187011</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1. csc𝜃cos𝜃/cot𝜃=1 \r<BR>\n" );
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document.write( "2. (sin𝜃−cos𝜃)^2=1−sin(2𝜃)\r<BR>\n" );
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document.write( "Hello! For these two problems, I am so lost and don't know what to do or how to solve this. How do verify the identity for both of these?\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #817985 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=817985\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28+csc%28theta%29%2Acos%28theta%29%29%2Fcot%28theta%29=1 ALIGN=MIDDLE  ALT=\"%28+csc%28theta%29%2Acos%28theta%29%29%2Fcot%28theta%29=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "manipulate left side...........use identity<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+csc%28theta%29=1%2Fsin%28theta%29 ALIGN=MIDDLE  ALT=\"+csc%28theta%29=1%2Fsin%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=%28+%281%2Fsin%28theta%29%29%2Acos%28theta%29%29%2Fcot%28theta%29 ALIGN=MIDDLE  ALT=\"%28+%281%2Fsin%28theta%29%29%2Acos%28theta%29%29%2Fcot%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=%28+cos%28theta%29%2Fsin%28theta%29%29%2Fcot%28theta%29 ALIGN=MIDDLE  ALT=\"%28+cos%28theta%29%2Fsin%28theta%29%29%2Fcot%28theta%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >................use identity <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28theta%29%2Fsin%28theta%29=cot%28theta%29 ALIGN=MIDDLE  ALT=\"cos%28theta%29%2Fsin%28theta%29=cot%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=cot%28theta%29%2Fcot%28theta%29 ALIGN=MIDDLE  ALT=\"cot%28theta%29%2Fcot%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=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "2,  \r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sin%28theta%29-cos%28theta%29%29%5E2=1-sin%282theta%29 ALIGN=MIDDLE  ALT=\"%28sin%28theta%29-cos%28theta%29%29%5E2=1-sin%282theta%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "manipulate left side\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28sin%28theta%29-cos%28theta%29%29%5E2 ALIGN=MIDDLE  ALT=\"+%28sin%28theta%29-cos%28theta%29%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >......square<BR>\n" );
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document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%5E2%28theta%29-2sin%28theta%29cos%28theta%29%2Bcos%5E2%28theta%29 ALIGN=MIDDLE  ALT=\"sin%5E2%28theta%29-2sin%28theta%29cos%28theta%29%2Bcos%5E2%28theta%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >...........use identity <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%5E2%28theta%29=1-sin%5E2%28theta%29 ALIGN=MIDDLE  ALT=\"cos%5E2%28theta%29=1-sin%5E2%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=sin%5E2%28theta%29-2sin%28theta%29cos%28theta%29%2B1-sin%5E2%28theta%29 ALIGN=MIDDLE  ALT=\"sin%5E2%28theta%29-2sin%28theta%29cos%28theta%29%2B1-sin%5E2%28theta%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >..........simplify\r<BR>\n" );
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document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2sin%28theta%29cos%28theta%29%2B1 ALIGN=MIDDLE  ALT=\"-2sin%28theta%29cos%28theta%29%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" >.........rearange\r<BR>\n" );
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document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1-2sin%28theta%29cos%28theta%29+ ALIGN=MIDDLE  ALT=\"1-2sin%28theta%29cos%28theta%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >..........................use double angle identity <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2sin%28theta%29cos%28theta%29=sin%282theta%29 ALIGN=MIDDLE  ALT=\"2sin%28theta%29cos%28theta%29=sin%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=1-sin%282theta%29 ALIGN=MIDDLE  ALT=\"1-sin%282theta%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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