document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1204326>Question 1204326</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Simplify\r<BR>\n" );
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document.write( "(cos (𝜃 +3𝜋/2) csc(5𝜋 + 𝜃))/<BR>\n" );
document.write( "(tan (𝜃 −𝜋/2) sin(−2𝜃))\r<BR>\n" );
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document.write( "into an expression which involves only one trigonometric function. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #840532 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=840532\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  <BR>\n" );
document.write( "1.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28cos+%28theta+%2B3pi%2F2%29+%2Acsc%285pi+%2B+theta%29%29%2F+%28tan+%28theta+-pi%2F2%29%2A+sin%28-2theta%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "use\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos+%28theta+%2B3pi%2F2%29=sin%28theta%29 ALIGN=MIDDLE  ALT=\"cos+%28theta+%2B3pi%2F2%29=sin%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=csc%285pi+%2B+theta%29=-csc%28theta%29 ALIGN=MIDDLE  ALT=\"csc%285pi+%2B+theta%29=-csc%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=tan%28theta+%29+%2A%28-csc%282+theta+%29%29=-cot%28theta%29 ALIGN=MIDDLE  ALT=\"tan%28theta+%29+%2A%28-csc%282+theta+%29%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=sin%28-2theta%29=+-sin%282theta%29 ALIGN=MIDDLE  ALT=\"sin%28-2theta%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=%28sin%28theta%29%2A%28-csc%28theta%29%29%29%2F%28-cot%28theta%29%2A%28-sin%282theta%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "since\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28theta%29%2A%28-csc%28theta%29%29=-1 ALIGN=MIDDLE  ALT=\"sin%28theta%29%2A%28-csc%28theta%29%29=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "then we have\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28-cot%28theta%29%2A%28-sin%282theta%29%29%29 ALIGN=MIDDLE  ALT=\"1%2F%28-cot%28theta%29%2A%28-sin%282theta%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=-1%2F%28sin%282theta%29%2A+cot%28theta%29%29 ALIGN=MIDDLE  ALT=\"-1%2F%28sin%282theta%29%2A+cot%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=-%281%2Fsin%282theta%29%29%2A%281%2F+cot%28theta%29%29 ALIGN=MIDDLE  ALT=\"-%281%2Fsin%282theta%29%29%2A%281%2F+cot%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=-%28csc%282theta%29%2Atan%28theta%29+%29 ALIGN=MIDDLE  ALT=\"-%28csc%282theta%29%2Atan%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=-csc%282theta%29%2Atan%28theta%29+ ALIGN=MIDDLE  ALT=\"-csc%282theta%29%2Atan%28theta%29+\"   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=%28tan%28theta+-pi%2F2%29+%2Asin%28-2theta%29%29 ALIGN=MIDDLE  ALT=\"%28tan%28theta+-pi%2F2%29+%2Asin%28-2theta%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "since:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan+%28theta-pi%2F2%29=-cot%28theta%29 ALIGN=MIDDLE  ALT=\"tan+%28theta-pi%2F2%29=-cot%28theta%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28-2theta%29=+-sin%282theta%29 ALIGN=MIDDLE  ALT=\"sin%28-2theta%29=+-sin%282theta%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "then we have\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-cot%28theta%29+%2A%28-sin%282theta%29%29 ALIGN=MIDDLE  ALT=\"-cot%28theta%29+%2A%28-sin%282theta%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=cot%28theta%29+%2Asin%282theta%29 ALIGN=MIDDLE  ALT=\"cot%28theta%29+%2Asin%282theta%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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