document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=937985>Question 937985</A>: <I><SPAN STYLE=\"word-break: break-all;\"> hey there,\r<BR>\n" );
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document.write( "I'm doing some basic trig functions and would like to get some insight into this question i am struggling with.\r<BR>\n" );
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document.write( "let 0 <= delta < pi/2 \r<BR>\n" );
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document.write( "(a) working from the unit circle, demonstrate that tan(pi - delta) = -tan delta <BR>\n" );
document.write( "(b) hence, find the exact value of tan(pi - pi/6)\r<BR>\n" );
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document.write( "thanks, </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #571335 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=571335\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let 0 <= delta < pi/2 <BR>\n" );
document.write( "(a) working from the unit circle, demonstrate that tan(pi - delta) = -tan delta<BR>\n" );
document.write( "Draw a unit circle centered at (0,0)<BR>\n" );
document.write( "Pick a point in QII ; Label the point (-x,y)<BR>\n" );
document.write( "x is negative and y is positive<BR>\n" );
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document.write( "That point is at pi-delta, eg. 180-30 = 150 degrees<BR>\n" );
document.write( "tan(pi-delta) = y/-x = -y/x<BR>\n" );
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document.write( "Draw a diameter from that point, thru (0,0) till it meets the circle in QIV<BR>\n" );
document.write( "That point has coordinates (x,-y) <BR>\n" );
document.write( "That point is delta below the x-ax or at -delta<BR>\n" );
document.write( "The tangent is -y/x which is the negative of tan(pi-delta)<BR>\n" );
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document.write( "(b) hence, find the exact value of tan(pi - pi/6) = -tan(pi/6) = -1/sqrt(3)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( " </SPAN>\n" );
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