document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=746558>Question 746558</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 3. Use sum, difference, double angle, and/or half angle identities to evaluate exactly. Show all work<BR>\n" );
document.write( "sin(25°)*cos(35°)+cos(25°)*sin(35°)\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #454369 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5397)</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=454369\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You must have been taught about trigonometric identities for sum of angles, difference, double angle, and/or half angle.<BR>\n" );
document.write( "One of those identities is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin+%28A%2BB%29=sin%28A%29%2Acos%28B%29%2Bcos%28A%29%2Asin%28B%29 ALIGN=MIDDLE  ALT=\"sin+%28A%2BB%29=sin%28A%29%2Acos%28B%29%2Bcos%28A%29%2Asin%28B%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If you replace <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=25%5Eo ALIGN=MIDDLE  ALT=\"A=25%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B=35%5Eo ALIGN=MIDDLE  ALT=\"B=35%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > you get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin+%2825%5Eo%2B35%5Eo%29=sin%2825%5Eo%29%2Acos%2835%5Eo%29%2Bcos%2825%5Eo%29%2Asin%2835%5Eo%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "where the right hand side is the expression you have to evaluate.<BR>\n" );
document.write( "Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25%5Eo%2B35%5Eo=60%5Eo ALIGN=MIDDLE  ALT=\"25%5Eo%2B35%5Eo=60%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > we can substitute to get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%2860%5Eo%29=ssin%2825%5Eo%29%2Acos%2835%5Eo%29%2Bcos%2825%5Eo%29%2Asin%2835%5Eo%29 ALIGN=MIDDLE  ALT=\"sin%2860%5Eo%29=ssin%2825%5Eo%29%2Acos%2835%5Eo%29%2Bcos%2825%5Eo%29%2Asin%2835%5Eo%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%2825%5Eo%29%2Acos%2835%5Eo%29%2Bcos%2825%5Eo%29%2Asin%2835%5Eo%29=sin%2860%5Eo%29 ALIGN=MIDDLE  ALT=\"sin%2825%5Eo%29%2Acos%2835%5Eo%29%2Bcos%2825%5Eo%29%2Asin%2835%5Eo%29=sin%2860%5Eo%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You should know that the exact value of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin+%2860%5Eo%29 ALIGN=MIDDLE  ALT=\"sin+%2860%5Eo%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283%29%2F2 ALIGN=MIDDLE  ALT=\"sqrt%283%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "so <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28sin%2825%5Eo%29%2Acos%2835%5Eo%29%2Bcos%2825%5Eo%29%2Asin%2835%5Eo%29=sqrt%283%29%2F2%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );