document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=48064>Question 48064</A>: <I><SPAN STYLE=\"word-break: break-all;\"> \"solve the following trigonometric eqaution for the given domain (cont.)\":<BR>\n" );
document.write( "can someone show me how to solve the below eqautions and explain them to me? thanks.<BR>\n" );
document.write( "i dont understand what you have to do with the \"x\" and a lot of other things.  please help thank you.\r<BR>\n" );
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document.write( "a.) sin 3x = <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;\" > ....for all x<BR>\n" );
document.write( "b.) tan 2x= 0 ....on [<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2F2 ALIGN=MIDDLE  ALT=\"pi%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3pi%2F2 ALIGN=MIDDLE  ALT=\"3pi%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >]<BR>\n" );
document.write( "c.) sec<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi ALIGN=MIDDLE  ALT=\"pi\"   DISABLED_style= \"max-width:90%; height:auto;\" >x= 2......for all x<BR>\n" );
document.write( "d.) sin^2 x + sin x=0....on [0,2<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi ALIGN=MIDDLE  ALT=\"pi\"   DISABLED_style= \"max-width:90%; height:auto;\" >]<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #31797 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=31797\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a.) sin 3x = (sqrt3)/2 ....for all x\r<BR>\n" );
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document.write( "The reference angle that has this sin value is pi/3<BR>\n" );
document.write( "The sin is positive in the 1st and 2nd Quadrants.<BR>\n" );
document.write( "So, looking at all x, 3x= pi/3+2npi or 3x=(2/3)x+2npi<BR>\n" );
document.write( "Then x=pi/9 + (2/3)npi or x= (pi/9)x+(2/3)npi<BR>\n" );
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document.write( "tan 2x= 0 ....on [pi/2,3pi/2]<BR>\n" );
document.write( "The reference angle whose tan value is 0 is 0 and pi<BR>\n" );
document.write( "So, looking at the given interval 2x=pi and x=pi/2<BR>\n" );
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document.write( "c.) secx= 2......for all x<BR>\n" );
document.write( "The reference angle for sec value of 2 is pi/3<BR>\n" );
document.write( "The sec is positive in the 1st and 4th quadrants.<BR>\n" );
document.write( "so, looking at all x, x=pi/3 + 2npi or x=(5/3)pi + 2npi<BR>\n" );
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document.write( "d.) sin^2 x + sin x=0....on [0,2pi]<BR>\n" );
document.write( "sinx(sinx+1)=0<BR>\n" );
document.write( "sinx=0 or sinx=-1<BR>\n" );
document.write( "sinx=0 on the interval when x=0, or x=pi, or x=2pi<BR>\n" );
document.write( "sinx=-1 on the interval when x=(3/2)pi<BR>\n" );
document.write( "------------------------------------------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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