document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=276591>Question 276591</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find an angle T on the unit circle such that 90 degrees<T<360 degress. Sin T=sin U and m \"angle\" U= 77 degrees<BR>\n" );
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document.write( "http://www2.edmastery.com/files/nnds_prod_data/itemAssets/NN.MAT.301307.2.HO%5Cres00007%5Cf8fde2dd70204ed691437cc32a984044%5C15.BMP </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #201544 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=201544\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
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document.write( "You want an angle in Quadrant II, III, or IV that has the same value of the sine function as an angle of 77 degrees.\r<BR>\n" );
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document.write( "First of all, we can eliminate anything in the interval <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \pi\ \leq\ T\ \leq\ 2\pi\">, which is to say Quadrants III and IV because the value of the sine function for any angle in Quadrant I, the location of the given 77° angle, is positive, whereas the value of the sine function in Quadrants III and IV is negative.  That means that the angle we are looking for must be in Quadrant II.\r<BR>\n" );
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document.write( "The value of the sine function for any angle <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \theta\"> is the <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE y\">-coordinate of the point of intersection with the terminal side ray of the angle and the unit circle.\r<BR>\n" );
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document.write( "Hence the angle needed is 180° - 77° = 103°\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( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
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