document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1060186>Question 1060186</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose that sin(theta) = 6/10 and theta is in the second quadrant. Use trigonometric identities to find the following quantities exactly.\r<BR>\n" );
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document.write( "(a) cos(theta) = <BR>\n" );
document.write( "(b) sin(2theta) =<BR>\n" );
document.write( "(c) cos(2theta) = <BR>\n" );
document.write( "(d) tan(2theta) = </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #675196 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=675196\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> sin(theta) = 6/10 and theta is in the second quadrant. Use trigonometric identities to find the following quantities exactly.<BR>\n" );
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document.write( "sin = 3/5<BR>\n" );
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document.write( "(a) cos(theta)<BR>\n" );
document.write( "cos = sqrt(1 - sin^2) = -4/5 (negative in Q2)<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "(b) sin(2theta) =<BR>\n" );
document.write( "sin(2t) = 2sin(t)*cos(t) = -24/25 --> Q3<BR>\n" );
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document.write( "(c) cos(2theta<BR>\n" );
document.write( "cos(2t) = sqrt(1 - sin^2(2t)) = -7/25 (negative in Q3)<BR>\n" );
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document.write( "(d) tan(2theta) = = sin(2t)/cos(2t) = 24/7 (+ in Q3) </SPAN>\n" );
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