document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=697013>Question 697013</A>: <I><SPAN STYLE=\"word-break: break-all;\"> (1)if sinA=7/25, cos=3/5 where A and B are acute, find without using tables:<BR>\n" );
document.write( "a)the value of sin (A-B)<BR>\n" );
document.write( "b) the value of cos(A+B)\r<BR>\n" );
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document.write( "(2) Find the centre and radius of the circle 4X2+4y2-12x+5=0\r<BR>\n" );
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document.write( "Please help me out<BR>\n" );
document.write( "Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #429700 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=429700\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (1)if sinA=7/25, cos=3/5 where A and B are acute, find without using tables:<BR>\n" );
document.write( "I assume you mean cos(B) = 3/5<BR>\n" );
document.write( "cos(A) = 24/25<BR>\n" );
document.write( "sin(B) = 4/5<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "a)the value of sin (A-B)<BR>\n" );
document.write( "= sin(A)cos(B) - sin(B)cos(A)<BR>\n" );
document.write( "= (7/25)*(3/5) - (4/5)*(24/25)<BR>\n" );
document.write( "= -3/5<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "b) the value of cos(A+B)<BR>\n" );
document.write( "= coscos + sinsin<BR>\n" );
document.write( "= (24/25)*(3/5) + (7/25)*(4/5)<BR>\n" );
document.write( "= 4/5<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "(2) Find the centre and radius of the circle 4X2+4y2-12x+5=0<BR>\n" );
document.write( "Complete the squares<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E2+-+12x+%2B+4y%5E2+=+-5 ALIGN=MIDDLE  ALT=\"4x%5E2+-+12x+%2B+4y%5E2+=+-5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-+3x+%2B+y%5E2+=+-5%2F4 ALIGN=MIDDLE  ALT=\"x%5E2+-+3x+%2B+y%5E2+=+-5%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-+3x+%2B+9%2F4+%2B+y%5E2+=+1 ALIGN=MIDDLE  ALT=\"x%5E2+-+3x+%2B+9%2F4+%2B+y%5E2+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+-+3%2F2%29%5E2+%2B+y%5E2+=+1 ALIGN=MIDDLE  ALT=\"%28x+-+3%2F2%29%5E2+%2B+y%5E2+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Center at (3/2,0)<BR>\n" );
document.write( "radius = 1<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );