document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=218330>Question 218330</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the value of sin(theta) in standard position if a point with coordinates<BR>\n" );
document.write( "(-3, 2) lies on its terminal side. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #164423 by </B><A HREF=/tutors/aboutme.mpl?userid=RAY100><B>RAY100(1637)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=RAY100><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=164423\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a  rough  sketch  helps.   Terminus  is  in quadrant  2 at  (-3,2)<BR>\n" );
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document.write( "with  x =-3,,and  y=2, Hyp = sqrt(-3^2+2^2) = 3.6055<BR>\n" );
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document.write( "ref  angle  is  tan^-1=2/3,,,,,theta  = 33.69 degrees,,,,180-33.69 = 146.31 degrees,,,answer<BR>\n" );
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document.write( "sin  33.69 = .5547,,,,,sin 146.31 = .5547<BR>\n" );
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document.write( "check,,,sin  theta  = 2/3.6055=.5547,,,ok<BR>\n" );
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document.write( "theta  = 33.69  and  base  angle  is  146.31 degrees<BR>\n" );
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