document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=237320>Question 237320</A>: <I><SPAN STYLE=\"word-break: break-all;\"> PLEASE HELP ME SOLVE THIS TRIGONOMETRIC FUNCTIONS: <BR>\n" );
document.write( "Given that sin0=-1/2 and 0 lies in quadrant lV,find the following value.sec 0<BR>\n" );
document.write( "the possible answers are:<BR>\n" );
document.write( "a)-2<BR>\n" );
document.write( "b)square root of 3/2 <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283%2F2%29 ALIGN=MIDDLE  ALT=\"sqrt%283%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "c)(2/square root of 3)/3 <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282sqrt%283%29%29%2Fsqrt%283%29 ALIGN=MIDDLE  ALT=\"%282sqrt%283%29%29%2Fsqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #174517 by </B><A HREF=/tutors/aboutme.mpl?userid=eggsarecool><B>eggsarecool(46)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=eggsarecool><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=174517\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I am going to replace theta with x since i have no way to make the computer display theta.<BR>\n" );
document.write( "So what we have is.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28x%29=-%281%2F2%29 ALIGN=MIDDLE  ALT=\"sin%28x%29=-%281%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The referance angle that makes sin equal to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > is 30 degress or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2F6 ALIGN=MIDDLE  ALT=\"pi%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If we want this angle in the 4th qudrant we get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=360-30=330 ALIGN=MIDDLE  ALT=\"360-30=330\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2pi-pi%2F6=11pi%2F6 ALIGN=MIDDLE  ALT=\"2pi-pi%2F6=11pi%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So we know that our angle is 330 degrees or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11pi%2F6 ALIGN=MIDDLE  ALT=\"11pi%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "We also know that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sec%28x%29=1%2Fcos%28x%29 ALIGN=MIDDLE  ALT=\"sec%28x%29=1%2Fcos%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > So we need to find out what cos(x) is to find sec(x).<BR>\n" );
document.write( "So we need to find cos of 330 degrees. The referance angle was 30 degrees and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%2830%29=sqrt%283%29%2F2 ALIGN=MIDDLE  ALT=\"cos%2830%29=sqrt%283%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Cos is positive in the 4th quadrent so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28330%29=sqrt%283%29%2F2 ALIGN=MIDDLE  ALT=\"cos%28330%29=sqrt%283%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "And <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sec%28x%29 ALIGN=MIDDLE  ALT=\"sec%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fcos%28x%29 ALIGN=MIDDLE  ALT=\"1%2Fcos%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sec%28330%29=1%2F%28sqrt%283%29%2F2%29=2%2Fsqrt%283%29 ALIGN=MIDDLE  ALT=\"sec%28330%29=1%2F%28sqrt%283%29%2F2%29=2%2Fsqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "And if you rationalize this.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2Fsqrt%283%29%29%2A%28sqrt%283%29%2Fsqrt%283%29%29=%282sqrt%283%29%29%2F3 ALIGN=MIDDLE  ALT=\"%282%2Fsqrt%283%29%29%2A%28sqrt%283%29%2Fsqrt%283%29%29=%282sqrt%283%29%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So choice C is the correct answer. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );