document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=422756>Question 422756</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the trigonometric functions of alpha where the vertex of the parabola, y=X^2+8x-5, 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 #295044 by </B><A HREF=/tutors/aboutme.mpl?userid=Gogonati><B>Gogonati(855)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Gogonati><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=Gogonati><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=295044\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Parabola with equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y=X%5E2%2B8x-5 ALIGN=MIDDLE  ALT=\"+y=X%5E2%2B8x-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > has for vertex the point (-4,-21).<BR>\n" );
document.write( "This point lies on the third quadrant and the slope of the line that pases on<BR>\n" );
document.write( "(-4,-21) and (0,0) is: m= (0+21)/(0+4)=21/4. As we know the slope of the line is equal to the tangent of the angel that the line form with x-axis.\r<BR>\n" );
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document.write( "    Tan(a)=21/4\r<BR>\n" );
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document.write( "   (a)= arctan (21/4)     ( (a) is the measure of the angle)\r<BR>\n" );
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document.write( "     (a)= 80 degree.\r<BR>\n" );
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document.write( "Since the vertex of parabola is in the third quadrant the angel is 180+80=260 degree.<BR>\n" );
document.write( "          Tan(260)=5.67, Sin(260)=-0.98  and Cos(260) =-0.17 </SPAN>\n" );
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