document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=640838>Question 640838</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please I really need help with this question. It says find all values of data (in radians) that satisfy the given equation.<BR>\n" );
document.write( "(a) cos= -1/&#8730;2<BR>\n" );
document.write( "(b) sin= -1/&#8730;2\r<BR>\n" );
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document.write( "I think I have to set up a triangle and find the missing leg and thats it.  But I'm not sure. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #403428 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=403428\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "First, rationalize your denominators:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \cos(\theta)\ =\ -\frac{1}{\sqrt{2}}\ =\ -\frac{1}{\sqrt{2}}\left(-\frac{\sqrt{2}}{\sqrt{2}\right)\ =\ -\frac{\sqrt{2}}{2}\">\r<BR>\n" );
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document.write( "Do the same thing for your other equation.\r<BR>\n" );
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document.write( "Then look up the values on the unit circle:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src=\"http://www.math.ucsd.edu/~jarmel/math4c/Unit_Circle_Angles.png\">\r<BR>\n" );
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document.write( "Remember, the <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE x\">-coordinate of the point of intersection of the terminal ray with the unit circle is the value of the cosine and the <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE y\">-coordinate is the value of the sine.\r<BR>\n" );
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document.write( "Since you haven't restricted the independent variable to a particular range, be sure to add <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE +\ 2k\pi\ \forall\ k\ \in\ \mathbb{Z}\"> to each of the two values you should get for each of your equations.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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