document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=262433>Question 262433</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am having a problem with this question...please don't just give me the answer, I would really like to know how to do it. Thanks\r<BR>\n" );
document.write( "\n" );
document.write( "f(theta)=3tan(theta)+sin2(theta), find f(pi/6) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #193346 by </B><A HREF=/tutors/aboutme.mpl?userid=drk><B>drk(1908)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drk><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=193346\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> here is our equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28theta%29=3tan%28theta%29%2Bsin%5E2%28theta%29 ALIGN=MIDDLE  ALT=\"f%28theta%29=3tan%28theta%29%2Bsin%5E2%28theta%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "find f(pi/6)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "step 1 - replace theta with pi/6 and we get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28pi%2F6%29+=+3tan%28pi%2F6%29+%2B+sin%5E2%28pi%2F6%29 ALIGN=MIDDLE  ALT=\"f%28pi%2F6%29+=+3tan%28pi%2F6%29+%2B+sin%5E2%28pi%2F6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "step 2 - find the values of<BR>\n" );
document.write( "3tan(pi/6) and sin^2(pi/6) as<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3tan%28pi%2F6%29 ALIGN=MIDDLE  ALT=\"3tan%28pi%2F6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 3*(sqrt(3)/3) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283%29 ALIGN=MIDDLE  ALT=\"sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%5E2%28pi%2F6%29 ALIGN=MIDDLE  ALT=\"sin%5E2%28pi%2F6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = (1/2)^2 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F4 ALIGN=MIDDLE  ALT=\"1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--<BR>\n" );
document.write( "So, we get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28pi%2F6%29+=+3tan%28pi%2F6%29+%2B+sin%5E2%28pi%2F6%29 ALIGN=MIDDLE  ALT=\"f%28pi%2F6%29+=+3tan%28pi%2F6%29+%2B+sin%5E2%28pi%2F6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "which becomes<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28pi%2F6%29+=+sqrt%283%29+%2B+1%2F4 ALIGN=MIDDLE  ALT=\"f%28pi%2F6%29+=+sqrt%283%29+%2B+1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----<BR>\n" );
document.write( "If however you meant the original problem as:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28theta%29=3tan%28theta%29%2Bsin%282%28theta%29%29 ALIGN=MIDDLE  ALT=\"f%28theta%29=3tan%28theta%29%2Bsin%282%28theta%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "then we have<BR>\n" );
document.write( "step 1 - replace theta with pi/6 and we get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28pi%2F6%29+=+3tan%28pi%2F6%29+%2B+sin%282%28pi%2F6%29%29 ALIGN=MIDDLE  ALT=\"f%28pi%2F6%29+=+3tan%28pi%2F6%29+%2B+sin%282%28pi%2F6%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "step 2 - find the values of<BR>\n" );
document.write( "3tan(pi/6) and sin(2(pi/6)) as<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3tan%28pi%2F6%29 ALIGN=MIDDLE  ALT=\"3tan%28pi%2F6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 3*(sqrt(3)/3) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283%29 ALIGN=MIDDLE  ALT=\"sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%282%28pi%2F6%29%29 ALIGN=MIDDLE  ALT=\"sin%282%28pi%2F6%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28pi%2F3%29 ALIGN=MIDDLE  ALT=\"sin%28pi%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <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( "--<BR>\n" );
document.write( "So, we get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28pi%2F6%29+=+3tan%28pi%2F6%29+%2B+sin%282%28pi%2F6%29%29 ALIGN=MIDDLE  ALT=\"f%28pi%2F6%29+=+3tan%28pi%2F6%29+%2B+sin%282%28pi%2F6%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "which becomes<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28pi%2F6%29+=+sqrt%283%29+%2B+sqrt%283%29%2F2 ALIGN=MIDDLE  ALT=\"f%28pi%2F6%29+=+sqrt%283%29+%2B+sqrt%283%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28pi%2F6%29+=+3sqrt%283%29%2F2 ALIGN=MIDDLE  ALT=\"f%28pi%2F6%29+=+3sqrt%283%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );