document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=962265>Question 962265</A>: <I><SPAN STYLE=\"word-break: break-all;\"> if tan theta=5/4 find the value of 3 sin theta + 4 cos theta/3 sin theta - 4cos\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 #587913 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=587913\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> if tan theta=5/4 find the value of 3 sin theta + 4 cos theta/3 sin theta - 4cos<BR>\n" );
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document.write( "tangent = y/x<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r+=+sqrt%28y%5E2+%2B+x%5E2%29+=+sqrt%2841%29 ALIGN=MIDDLE  ALT=\"r+=+sqrt%28y%5E2+%2B+x%5E2%29+=+sqrt%2841%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "sin = y/r = 5/sqrt(41) = 5sqrt(41)/41<BR>\n" );
document.write( "cos = x/r = 4sqrt(41)/41<BR>\n" );
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document.write( "(3sin + 4cos)/(3sin - 4cos) = ((15sqrt(41)+16sqrt(41))/((15sqrt(41)-16sqrt(41))<BR>\n" );
document.write( "= -31<BR>\n" );
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