document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1114742>Question 1114742</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use your graphing calculator to find all degree solutions in the interval 0° &#8804; x < 360° for the following equation.<BR>\n" );
document.write( "sin 2x = &#8722; sqrt (3)/2 </SPAN>\n" );
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document.write( "As you can see, there are different ways of explaining how to find all the solutions.  Here is what is easiest for me....<br><BR>\n" );
document.write( "(1) A sine value of -sqrt(3)/2 means a 60 degree reference angle in quadrant III or IV.<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+%3C=+x+%3C+360 ALIGN=MIDDLE  ALT=\"0+%3C=+x+%3C+360\"   DISABLED_style= \"max-width:90%; height:auto;\" > means <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+%3C=+2x+%3C+720 ALIGN=MIDDLE  ALT=\"0+%3C=+2x+%3C+720\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "So we need to find all the values of x for which 2x is an angle in quadrant III or IV with a reference angle of 60 degrees.<br><BR>\n" );
document.write( "Angles 2x between 0 and 720 with a 60 degree reference angle in quadrant III or IV are<BR>\n" );
document.write( "(a) 180+60 = 240 degrees;<BR>\n" );
document.write( "(b) 360-60 = 300 degrees;<BR>\n" );
document.write( "(c) 240+360 = 600 degrees; and<BR>\n" );
document.write( "(d) 300+360 = 660 degrees<br><BR>\n" );
document.write( "Then the corresponding values of x (the solutions to the given equation) are<BR>\n" );
document.write( "(a) 240/2 = 120 degrees;<BR>\n" );
document.write( "(b) 300/2 = 150 degrees;<BR>\n" );
document.write( "(c) 600/2 = 300 degrees; and<BR>\n" );
document.write( "(d) 660/2 = 330 degrees </SPAN>\n" );
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