document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=391597>Question 391597</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do I approach the following question: If x sin A + y cos A = p and x cos A - y sin A = q, find x square + y square. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #277863 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=277863\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+det%28matrix%282%2C2%2Cp%2C+cos+A%2Cq%2C-sin+A%29%29%2F+det%28matrix%282%2C2%2Csin+A%2C+cos+A%2C+cos+A%2C-sin+A%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >= q cos A - p sin A\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+det%28matrix%282%2C2%2Csin+A%2C+p%2C+cos+A%2Cq%29%29%2F+det%28matrix%282%2C2%2Csin+A%2C+cos+A%2C+cos+A%2C-sin+A%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >= p cos A - q sin A\r<BR>\n" );
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document.write( "after using Cramer's rule to solve for x and y.  <BR>\n" );
document.write( "Then <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+y%5E2 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=q%5E2%28cos+A%29%5E2+-+2pq+sin+A+cos+A+%2B+p%5E2%28sin+A+%29%5E2+%2B+p%5E2%28cos+A%29%5E2+-+2pq+sin+A+cos+A+%2B+q%5E2%28sin+A+%29%5E2 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28p%5E2+%2B+q%5E2%29%28cos+A%29%5E2++%2B+%28p%5E2+%2B+q%5E2%29%28sin+A%29%5E2+-+4pq+sin+A+cos+A+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%5E2+%2B+q%5E2+-+2pq+sin+2A ALIGN=MIDDLE  ALT=\"p%5E2+%2B+q%5E2+-+2pq+sin+2A\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );