document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=130116>Question 130116</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If angle A and angle B are acute angles of right triangle ABC, what is the value of sin A - cos B ? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #95049 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=95049\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If you draw a picture, you'll notice that angle A and B are connected. If you know the measure of angle A, then angle B is: B=90-A\r<BR>\n" );
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document.write( "So \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin+%28A%29+-+cos+%28B%29 ALIGN=MIDDLE  ALT=\"sin+%28A%29+-+cos+%28B%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "also looks like\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin+%28A%29+-+cos+%2890-A%29 ALIGN=MIDDLE  ALT=\"sin+%28A%29+-+cos+%2890-A%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now if you look at the list of identities, you'll see one that reads: <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \sin\left(\theta\right)=\cos\left(90-\theta\right)\">\r<BR>\n" );
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document.write( "So our expression becomes\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin+%28A%29+-+sin+%28A%29 ALIGN=MIDDLE  ALT=\"sin+%28A%29+-+sin+%28A%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Just replace <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos+%2890-A%29 ALIGN=MIDDLE  ALT=\"cos+%2890-A%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28A%29 ALIGN=MIDDLE  ALT=\"sin%28A%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "and the expression evaluates to 0\r<BR>\n" );
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document.write( "So  \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin+%28A%29+-+cos+%28B%29=0 ALIGN=MIDDLE  ALT=\"sin+%28A%29+-+cos+%28B%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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