document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=879281>Question 879281</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I'm a little lost, I don't know how to approach this problem. It says,\r<BR>\n" );
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document.write( "Find the acute angle theta that satisfies the equation tan theta = cot(theta + 45degrees) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #530736 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=530736\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the acute angle theta that satisfies the equation tan theta = cot(theta + 45degrees)<BR>\n" );
document.write( "cot(x+45)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%28x%2B45%29=%28tanx%2Btan45%29%2F%281-tanx%2Atan45%29=%28tanx%2B1%29%2F%281-tanx%29 ALIGN=MIDDLE  ALT=\"tan%28x%2B45%29=%28tanx%2Btan45%29%2F%281-tanx%2Atan45%29=%28tanx%2B1%29%2F%281-tanx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cot%28x%2B45%29=1%2F%28tan%28x%2B45%29%29=%281-tanx%29%2F%28tanx%2B1%29 ALIGN=MIDDLE  ALT=\"cot%28x%2B45%29=1%2F%28tan%28x%2B45%29%29=%281-tanx%29%2F%28tanx%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tanx=cot%28x%2B45%29=%281-tanx%29%2F%28tanx%2B1%29 ALIGN=MIDDLE  ALT=\"tanx=cot%28x%2B45%29=%281-tanx%29%2F%28tanx%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%5E2%28x%29%2Btan%28x%29=1-tan%28x%29 ALIGN=MIDDLE  ALT=\"tan%5E2%28x%29%2Btan%28x%29=1-tan%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%5E2%28x%29%2B2tan%28x%29-1=0 ALIGN=MIDDLE  ALT=\"tan%5E2%28x%29%2B2tan%28x%29-1=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "solve for tan(x) by quadratic formula:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%28x%29+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"tan%28x%29+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a=1, b=2, c=-1<BR>\n" );
document.write( "ans:<BR>\n" );
document.write( "tan(x)=-2.4142 (reject, not an acute angle)<BR>\n" );
document.write( "or<BR>\n" );
document.write( "tan(x)=0.4142<BR>\n" );
document.write( "x&#8776;22.5&#730; </SPAN>\n" );
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