document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=863561>Question 863561</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the exact value of:\r<BR>\n" );
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document.write( "sin(2cos^-1(24/25))\r<BR>\n" );
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document.write( "and\r<BR>\n" );
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document.write( "tan(cos^-1(1/5)) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #520555 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=520555\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the exact value of: <BR>\n" );
document.write( "sin(2cos^-1(24/25))<BR>\n" );
document.write( "Note: sin(2t) = 2sin(t)*cos(t)<BR>\n" );
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document.write( "Since cos = (24/25), sin = sqrt(25^2-24^2)/25 = 7/25 <BR>\n" );
document.write( "Therefore: sin(2cos^-1(24/25)) = 2(7/25)(24/25) = 0.5376<BR>\n" );
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document.write( "and<BR>\n" );
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document.write( "tan(cos^-1(1/5)) <BR>\n" );
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document.write( "Let t = cos-1(1/5)<BR>\n" );
document.write( "Since cos(t) = 1/5, x = 1 and r = 5<BR>\n" );
document.write( "Then y = sqrt(5^2-1^2) = 2sqrt(6)<BR>\n" );
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document.write( "Ans: tan(t) = y/x = (2sqrt(6))/1 = 2sqrt(6)<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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