document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=308497>Question 308497</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given: cscx=5/3; secx<0\r<BR>\n" );
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document.write( "Find exact values: a. cos (2x)<BR>\n" );
document.write( "                   b. tan (2x)<BR>\n" );
document.write( "                   c. sin (2x)\r<BR>\n" );
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document.write( "I have tried using the pythagorean theorem: 3^2+b^2=5^2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #220593 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=220593\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given: cscx=5/3; secx<0<BR>\n" );
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document.write( "csc = 1/sin<BR>\n" );
document.write( "sin(x) = +3/5 --> Quad 1 or 2<BR>\n" );
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document.write( "sec<0 --> Quad 2 or 3<BR>\n" );
document.write( "--> Quadrant 2<BR>\n" );
document.write( "cos(x) = -4/5<BR>\n" );
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document.write( "Find exact values:<BR>\n" );
document.write( "a. cos (2x)<BR>\n" );
document.write( "= 1 - 2sin^2(x)<BR>\n" );
document.write( "= 1 - 2*(3/5)^2 = 1- 18/25<BR>\n" );
document.write( "= 7/25<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "c. sin (2x)<BR>\n" );
document.write( "= 2 sin(x) cos(x)<BR>\n" );
document.write( "= 2(3/5)*(-4/5)<BR>\n" );
document.write( "= -24/25<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "b. tan (2x) = sin(2x)/cos(2x)<BR>\n" );
document.write( "= -24/7<BR>\n" );
document.write( " </SPAN>\n" );
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