document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=400808>Question 400808</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Help please! Find all the solutions for x to the nearest 0.01 radian in the interval [0,2&#960;] for the equation: sin x = -0.2794 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #283797 by </B><A HREF=/tutors/aboutme.mpl?userid=jsmallt9><B>jsmallt9(3758)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jsmallt9><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=283797\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You need a calculator (or calculator computer program) for this.<br><BR>\n" );
document.write( "First we find the reference angle. Making sure your calculator is set to radian mode, find sin<sup>-1</sup>(0,2794). (Note: Do <i>not</i> put the minus sign in. Just use 0.2794!) You should get something close to 0.2831691661234182. (If you got something around 18 then your calculator was in degree mode. Just multiply your answer by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2F180 ALIGN=MIDDLE  ALT=\"pi%2F180\"   DISABLED_style= \"max-width:90%; height:auto;\" > and you should get a number close to mine. 0.2831691661234182 radians is the reference angle.<br><BR>\n" );
document.write( "Next we figure out where angles will have a sin that is negative. We should know that sin's are negative in the same places where y cooridinates are negative, in the 3rd and 4th quadrants.<br><BR>\n" );
document.write( "Now that we have the reference angle and the quadrants, we can find our solutions. In the 3rd quadrant an angle is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi ALIGN=MIDDLE  ALT=\"pi\"   DISABLED_style= \"max-width:90%; height:auto;\" > plus the reference angle:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi+%2B+0.2831691661234182 ALIGN=MIDDLE  ALT=\"pi+%2B+0.2831691661234182\"   DISABLED_style= \"max-width:90%; height:auto;\" > radians<BR>\n" );
document.write( "or<BR>\n" );
document.write( "3.1415926535897931 + 0.2831691661234182 radians<BR>\n" );
document.write( "or<BR>\n" );
document.write( "3.4247618197132113 radians<BR>\n" );
document.write( "To the nearest 0.01 radian this would be 3.24 radians.<br><BR>\n" );
document.write( "In the 4th quadrant an angle is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2pi ALIGN=MIDDLE  ALT=\"2pi\"   DISABLED_style= \"max-width:90%; height:auto;\" > minus the reference angle:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2pi+%2B+0.2831691661234182 ALIGN=MIDDLE  ALT=\"2pi+%2B+0.2831691661234182\"   DISABLED_style= \"max-width:90%; height:auto;\" > radians<BR>\n" );
document.write( "or<BR>\n" );
document.write( "6.2831853071795862 - 0.2831691661234182 radians<BR>\n" );
document.write( "or<BR>\n" );
document.write( "6.0000161410561680 radians<BR>\n" );
document.write( "To the nearest 0.01 radian this would be 6.00 or just 6 radians<br><BR>\n" );
document.write( "Between 0 and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2pi ALIGN=MIDDLE  ALT=\"2pi\"   DISABLED_style= \"max-width:90%; height:auto;\" > these are the only two angles with a negative sin and a reference angle of 0.2831691661234182 radians. </SPAN>\n" );
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