document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=95547>Question 95547</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0130954020/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Hello,\r<BR>\n" );
document.write( "\n" );
document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+cos+a+ ALIGN=MIDDLE  ALT=\"+cos+a+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+tan+b+ ALIGN=MIDDLE  ALT=\"+tan+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+cos+b+=+tan+a+ ALIGN=MIDDLE  ALT=\"+cos+b+=+tan+a+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, where a and b are acute angles, show that\r<BR>\n" );
document.write( "\n" );
document.write( "sin a = sin b = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sqrt%28%283+-+sqrt%285%29%29%2F2%29+ ALIGN=MIDDLE  ALT=\"+sqrt%28%283+-+sqrt%285%29%29%2F2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "\n" );
document.write( "---\r<BR>\n" );
document.write( "\n" );
document.write( "I know that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+tan+b+=+sin+b%2Fcos+b+ ALIGN=MIDDLE  ALT=\"+tan+b+=+sin+b%2Fcos+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+tan+a+=+sin+a%2Fcos+a+ ALIGN=MIDDLE  ALT=\"+tan+a+=+sin+a%2Fcos+a+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, but I do not know where to go from here.\r<BR>\n" );
document.write( "\n" );
document.write( "Thank you in advance for your help. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #69585 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=69585\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+cos+a+ ALIGN=MIDDLE  ALT=\"+cos+a+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+tan+b+ ALIGN=MIDDLE  ALT=\"+tan+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+cos+b+=+tan+a+ ALIGN=MIDDLE  ALT=\"+cos+b+=+tan+a+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, where a and b are acute angles, show that\r<BR>\n" );
document.write( "\n" );
document.write( "A)sin a = sin b \r<BR>\n" );
document.write( "\n" );
document.write( "B)= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sqrt%28%283+-+sqrt%285%29%29%2F2%29+ ALIGN=MIDDLE  ALT=\"+sqrt%28%283+-+sqrt%285%29%29%2F2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "\n" );
document.write( "-------------------------<BR>\n" );
document.write( "Part A:<BR>\n" );
document.write( "cosa = tanb<BR>\n" );
document.write( "cosa = sinb/cosb<BR>\n" );
document.write( "But cosb = tana<BR>\n" );
document.write( "So, cosa = sinb/tana<BR>\n" );
document.write( "Therefore sinb = cosa*tana<BR>\n" );
document.write( "sinb = cosa<BR>\n" );
document.write( "And finally, sinb = sina<BR>\n" );
document.write( "==================<BR>\n" );
document.write( "Part B:<BR>\n" );
document.write( "So now sina = sinb<BR>\n" );
document.write( "Comment:<BR>\n" );
document.write( "Since a and b are acute that implies angle a = angle b<BR>\n" );
document.write( "Which implies a and b are both 45 degrees<BR>\n" );
document.write( "? where they got the sqrt[(3-sqrt5)/2] is beyond me?<BR>\n" );
document.write( "=====================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );