document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=443665>Question 443665</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What would be the positive angles of Q in degree for which sin Q = negative square root 2/2? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #305960 by </B><A HREF=/tutors/aboutme.mpl?userid=swincher4391><B>swincher4391(1107)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=swincher4391><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=swincher4391><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=305960\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Recall the method with the 30,60 90 triangle , but this time draw a 45,45,90 triangle.\r<BR>\n" );
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document.write( "The sides are 1,1,sqrt(2) in the 45 45 90 triangle.\r<BR>\n" );
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document.write( "A,S,T,C\r<BR>\n" );
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document.write( "so in q3,q4, sin is negative.\r<BR>\n" );
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document.write( "So we look at our reference angles.\r<BR>\n" );
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document.write( "the reference angle in q3 is 180\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=180+%2B+45+=+highlight%28225%29 ALIGN=MIDDLE  ALT=\"180+%2B+45+=+highlight%28225%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "the reference angle in q4 is 360\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=360+-+45+=+highlight%28315%29 ALIGN=MIDDLE  ALT=\"360+-+45+=+highlight%28315%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Since you have an infinite amount of angles (since you can add 360 each time), we could express our answer as:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=225+%2B+360n ALIGN=MIDDLE  ALT=\"225+%2B+360n\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=315+%2B+360n ALIGN=MIDDLE  ALT=\"315+%2B+360n\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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