document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=101198>Question 101198</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve each equation. <BR>\n" );
document.write( "assume 0<=t<=2pi and 0<=theta<=360degrees\r<BR>\n" );
document.write( "\n" );
document.write( "a. sin(t)=1/2<BR>\n" );
document.write( " \r<BR>\n" );
document.write( "\n" );
document.write( "b. 2cos^2 theta - 3cos theta +1=0<BR>\n" );
document.write( "  \r<BR>\n" );
document.write( "\n" );
document.write( "c. sec theta= -5<BR>\n" );
document.write( "   give answer accurate to 3 decimals\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "d. 2 cos(2t)=7cos(t)<BR>\n" );
document.write( "   give answer accurate to 3 decimals </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #73692 by </B><A HREF=/tutors/aboutme.mpl?userid=Nate><B>Nate(3500)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Nate><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=73692\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a. sin(t) = 1/2<BR>\n" );
document.write( "t = pi/6<BR>\n" );
document.write( "t = pi/6 and t = 5*pi/6<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28700%2C200%2C-1%2C6.3%2C-3%2C3%2C1%2F2%2Csin%28x%29%29 ALIGN=MIDDLE  ALT=\"graph%28700%2C200%2C-1%2C6.3%2C-3%2C3%2C1%2F2%2Csin%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "b. 2*cos^2(theta) - 3*cos(theta) + 1 = 0<BR>\n" );
document.write( "2*cos^2(theta) - 2*cos(theta) - cos(theta) + 1 = 0<BR>\n" );
document.write( "2*cos(theta)(cos(theta) - 1) - 1(cos(theta) - 1) = 0<BR>\n" );
document.write( "(2*cos(theta) - 1)(cos(theta) - 1) = 0<BR>\n" );
document.write( "2*cos(theta) - 1 = 0 and cos(theta) - 1 = 0<BR>\n" );
document.write( "cos(theta) = 1/2 and cos(theta) = 1<BR>\n" );
document.write( "theta = pi/3, 5*pi/3, 0, and 2*pi<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28700%2C200%2C-1%2C6.3%2C-1%2C1%2C2%2Acos%28x%29%5E2+-+3%2Acos%28x%29+%2B+1%29 ALIGN=MIDDLE  ALT=\"graph%28700%2C200%2C-1%2C6.3%2C-1%2C1%2C2%2Acos%28x%29%5E2+-+3%2Acos%28x%29+%2B+1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "c. simple<BR>\n" );
document.write( "d. 2*cos(2t) = 7cos(t)<BR>\n" );
document.write( "2*cos(2t) - 7*cos(t) = 0<BR>\n" );
document.write( "2( cos(t + t) ) - 7*cos(t) = 0<BR>\n" );
document.write( "2( cos(t)^2 - sin(t)^2 ) - 7*cos(t) = 0<BR>\n" );
document.write( "2( cos(t)^2 - ( 1 - cos(t)^2 )) - 7*cos(t) = 0<BR>\n" );
document.write( "2( 2*cos(t)^2 -  1) - 7*cos(t) = 0<BR>\n" );
document.write( "4*cos(t)^2 - 7*cos(t) - 2 = 0<BR>\n" );
document.write( "4*cos(t)^2 - 8*cos(t) + cos(t) - 2 = 0<BR>\n" );
document.write( "4*cos(t)(cos(t) - 2) + 1(cos(t) - 2) = 0<BR>\n" );
document.write( "(4*cos(t) + 1)(cos(t) - 2) = 0<BR>\n" );
document.write( "4*cos(t) + 1 = 0 and cos(t) - 2 = 0<BR>\n" );
document.write( "cos(t) = -1/4 and cos(t) = 2 ... nonexistant<BR>\n" );
document.write( "I do not have a calculator with the inverse process with me ...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28700%2C200%2C-1%2C6.3%2C-2%2C2%2C-.25%2Ccos%28x%29%2C2%2Acos%282x%29%2C7%2Acos%28x%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );