document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1172165>Question 1172165</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the exact values of  sin(2u), cos(2u), and tan(2u) using the double-angle formulas.\r<BR>\n" );
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document.write( "csc(u) = 6,   0 < u < 𝜋/2\r<BR>\n" );
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document.write( "sin(2u)	 = 	<BR>\n" );
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document.write( "cos(2u)	 = 	<BR>\n" );
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document.write( "tan(2u)	 = </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #797094 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10552)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=797094\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the exact values of  sin(2u), cos(2u), and tan(2u) using the double-angle formulas.\r<BR>\n" );
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document.write( "csc(u) = 6,   0 < u < 𝜋/2\r<BR>\n" );
document.write( "\n" );
document.write( "sin(2u)	 = 	<BR>\n" );
document.write( " <BR>\n" );
document.write( "cos(2u)	 = 	<BR>\n" );
document.write( " <BR>\n" );
document.write( "tan(2u)	 =<BR>\n" );
document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">With <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+%3C+u+%3C+pi%2F2 ALIGN=MIDDLE  ALT=\"0+%3C+u+%3C+pi%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, 0 is in the 1st quadrant<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%282%2C7%2C+csc+%28u%29%2C+%22=%22%2C+H%2FO%2C+%22=%22%2C+6%2F1%2C+%22=%22%2C+r%2Fy%2C+sin+%28u%29%2C+%22=%22%2C+O%2FH%2C+%22=%22%2C+y%2Fr%2C+%22=%22%2C+1%2F6%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >      <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%285%2C3%2C+x%5E2%2C+%22=%22%2C+r%5E2+-+y%5E2%2C+x%5E2%2C+%22=%22%2C+6%5E2+-+1%5E2%2C+x%5E2%2C+%22=%22%2C+36+-+1%2C+x%5E2%2C+%22=%22%2C+35%2C+x%2C+%22=%22%2C+sqrt%2835%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%281%2C7%2C+cos+%28u%29%2C+%22=%22%2C+A%2FH%2C+%22=%22%2C+x%2Fr%2C+%22=%22%2C+sqrt%2835%29%2F6%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28system%28matrix%283%2C3%2C+sin+%282u%29%2C+%22=%22%2C+2+%2A+sin+%28u%29+cos+%28u%29%2C+sin+%282u%29%2C+%22=%22%2C+2+%2A+%281%2F6%29+%2A+%28sqrt%2835%29%2F6%29%2C+sin+%282u%29%2C+%22=%22%2C+%281%2F3%29+%2A+%28sqrt%2835%29%2F6%29%29%2C+highlight%28matrix%281%2C3%2C+sin+%282u%29%2C+%22=%22%2C+sqrt%2835%29%2F18%29%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >    <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28system%28matrix%284%2C3%2C+cos+%282u%29%2C+%22=%22%2C+cos%5E2+%28u%29+-+sin%5E2+%28u%29%2C+%0D%0Acos+%282u%29%2C+%22=%22%2C+%28sqrt%2835%29%2F6%29%5E2+-+%281%2F6%29%5E2%2C+cos+%282u%29%2C+%22=%22%2C+%2835%2F36%29+-+%281%2F36%29%2C%0D%0Acos+%282u%29%2C+%22=%22%2C+34%2F36%29%2C+highlight%28matrix%281%2C3%2C+cos+%282u%29%2C+%22=%22%2C+17%2F18%29%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >    <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+highlight_green%28system%28matrix%284%2C3%2C+tan+%282u%29%2C+%22=%22%2C+sin+%282u%29%2Fcos+%282u%29%2C+tan+%282u%29%2C+%22=%22%2C+%28sqrt%2835%29%2F18%29%2F%2817%2F18%29%2C+tan+%282u%29%2C+%22=%22%2C+%28sqrt%2835%29%2F18%29+%2A+%2818%2F17%29%2C+tan+%282u%29%2C+%22=%22%2C+%28sqrt%2835%29%2Fcross%2818%29%29+%2A+%28cross%2818%29%2F17%29%29%2C+highlight%28matrix%281%2C3%2C+tan+%282u%29%2C+%22=%22%2C+sqrt%2835%29%2F17%29%29%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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