document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=873858>Question 873858</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi all, I'm currently doing my math homework and I'm stuck on a single question. If you can help me with the question, that would be awesome : <BR>\n" );
document.write( "Find the values of each pair of expressions. <BR>\n" );
document.write( "1.) sin 80, cos 10 <BR>\n" );
document.write( "2.) cos 25, sin 65 <BR>\n" );
document.write( "What do you notice about the values and the angles in each pair? <BR>\n" );
document.write( "Explain why your answers make sense. \r<BR>\n" );
document.write( "\n" );
document.write( "The answers in each set are equal to each other (sin 80= the same answer as cos 10) however I don't know what is the connection between them. Again, if you can help, that would be awesome :)! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #527164 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=527164\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=80%5Eo%2B10%5Eo=90%5Eo ALIGN=MIDDLE  ALT=\"80%5Eo%2B10%5Eo=90%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25%5Eo%2B65%5Eo=90%5Eo ALIGN=MIDDLE  ALT=\"25%5Eo%2B65%5Eo=90%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "those pairs of angles could be the acute angles in right triangles.<BR>\n" );
document.write( "The same ratio <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=leg%2Fhypotenuse ALIGN=MIDDLE  ALT=\"leg%2Fhypotenuse\"   DISABLED_style= \"max-width:90%; height:auto;\" > that is the sine of one angle<BR>\n" );
document.write( "is also the cosine off the other angle.<BR>\n" );
document.write( "When two angles add up to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90%5Eo ALIGN=MIDDLE  ALT=\"90%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > (when they are complementary),<BR>\n" );
document.write( "the sine of one angle is the cosine of the other angle.<BR>\n" );
document.write( "In formulas,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%2890%5Eo-x%29=cos%28x%29 ALIGN=MIDDLE  ALT=\"sin%2890%5Eo-x%29=cos%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%2890%5Eo-x%29=sin%28x%29 ALIGN=MIDDLE  ALT=\"cos%2890%5Eo-x%29=sin%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C150%2C-0.1%2C1.1%2C-0.1%2C0.5%2C%0D%0Atriangle%280%2C0%2C0.906%2C0%2C0.906%2C0.423%29%2C%0D%0Arectangle%280.906%2C0%2C0.866%2C0.04%29%2C%0D%0Alocate%280.43%2C-0.02%2Cx%29%2Clocate%280.92%2C0.25%2Cy%29%2C%0D%0Alocate%280.453%2C0.21%2C1%29%2Clocate%280.14%2C0.09%2C25%5Eo%29%2C%0D%0Aarc%280%2C0%2C0.5%2C0.5%2C-25%2C0%29%2Clocate%280.8%2C0.4%2C65%5Eo%29%2C%0D%0Aarc%280.906%2C0.423%2C0.4%2C0.4%2C90%2C155%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=x%2F1=sin%2865%5Eo%29=cos%2825%5Eo%29 ALIGN=MIDDLE  ALT=\"x=x%2F1=sin%2865%5Eo%29=cos%2825%5Eo%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=y%2F1=sin%2825%5Eo%29=cos%2865%5Eo%29 ALIGN=MIDDLE  ALT=\"y=y%2F1=sin%2825%5Eo%29=cos%2865%5Eo%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );