document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1155306>Question 1155306</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have a right angle triangle with 2 given sides. adjacent = 3 and the opposite = 5. I need to find a solution for the six trigonometric functions. The system is not accepting my solution of 5.8 for the hypotenuse, so I was wondering what I may have miscalculated.\r<BR>\n" );
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document.write( "Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #777890 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=777890\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> adjacent = 3<BR>\n" );
document.write( "opposite = 5<BR>\n" );
document.write( "hypotenuse is sqrt(3^2 + 5^2) = sqrt(9 + 25) = sqrt(34) = 5.830952895.<BR>\n" );
document.write( "round that off to 1 decimal point and you get 5.8.<BR>\n" );
document.write( "that's only approximate though.<BR>\n" );
document.write( "the exact answer is sqrt(34)<BR>\n" );
document.write( "that does not appear to be simplified any further than that.\r<BR>\n" );
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document.write( "unless they asked for the answer to the nearest tenth, then 5.8 probably won't do it.<BR>\n" );
document.write( "your solution for the 6 trigonometric functions should be:\r<BR>\n" );
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document.write( "sine = opposite / hypotenuse = 5 / sqrt(34)\r<BR>\n" );
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document.write( "cosine = adjacent / hypotenuse = 3 / sqrt(34)\r<BR>\n" );
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document.write( "tangent = opposite / adjacent = 5 / 3\r<BR>\n" );
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document.write( "cotangent = adjacent / opposite = 3 / 5\r<BR>\n" );
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document.write( "secant = hypotenuse / adjacent = sqrt(34) / 3\r<BR>\n" );
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document.write( "cosecant = hypotenuse / opposite = sqrt(34) / 5\r<BR>\n" );
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document.write( "note that sine = 5 / sqrt(34) can be simplified to (5 * sqrt(34) / 34.\r<BR>\n" );
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document.write( "not that cosine = 3 / sqrt(34) can be simplified to (3 * sqrt(34) / 34\r<BR>\n" );
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document.write( "note that secant = 1 / cosine = 1 / (3 / sqrt(34)) = 1 * sqrt(34) / 3 = sqrt(34) / 3\r<BR>\n" );
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document.write( "note that cosecant = 1 / sine = 1 / (5 / sqrt(34)) = 1 * sqrt(34) / 5 = sqrt(34) / 5\r<BR>\n" );
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document.write( "note that cotangent = 1 / tangent = 1 / (5/3) = 1 * 3/5 = 3/5\r<BR>\n" );
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document.write( "mpte that tangent also equals sine / cosine = (5 / sqrt(34) / (3 / sqrt(34)) = <BR>\n" );
document.write( "5 / sqrt(34) * sqrt(34) / 3 = 5 / 3\r<BR>\n" );
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document.write( "the answer to your questions should be:\\r<BR>\n" );
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document.write( "hypotenuse = sqrt(34)\r<BR>\n" );
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document.write( "sine = 5 / sqrt(34) = 5 * sqrt(34) / 34\r<BR>\n" );
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document.write( "cosine = 3 / sqrt(34) = 3 * sqrt(34) / 34\r<BR>\n" );
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document.write( "tangent = 3/5\r<BR>\n" );
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document.write( "cotangent = 5/3\r<BR>\n" );
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document.write( "secant = sqrt(34) / 3\r<BR>\n" );
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document.write( "cosecant = sqrt(34) / 5\r<BR>\n" );
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document.write( " </SPAN>\n" );
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