document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1162405>Question 1162405</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve each equation to the nearest tenth. Use the given restriction:\r<BR>\n" );
document.write( "\n" );
document.write( "cos Θ = -0.25 for 180°<Θ<270° </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #786201 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=786201\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> arc cosine (.25) = 75.52248781 degrees.<BR>\n" );
document.write( "that's the reference angle.<BR>\n" );
document.write( "notice i looked for arc cosine (plus .25) and not arc cosine (minus .25)<BR>\n" );
document.write( "the positive trig function will always find you the reference angle.<BR>\n" );
document.write( "that's the angle in the first quadrant.<BR>\n" );
document.write( "the cosine is negative in the second and third quadrant.<BR>\n" );
document.write( "the angle you are looking for is in the third quadrant.<BR>\n" );
document.write( "the equivalent angle in the third quadrant is 180 + the reference angle = 180 + 75.52248781 = 255.52248781 degrees.<BR>\n" );
document.write( "round that to 1 decimal point and the angle is 255.5 degrees.<BR>\n" );
document.write( "here's what it looks like.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2020/071601.jpg\" >\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );