document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1198656>Question 1198656</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the exact value of tan(15 degrees)?\r<BR>\n" );
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document.write( "The correct answer is one of the following. Which one?\r<BR>\n" );
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document.write( "A) 1- square root of 3\r<BR>\n" );
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document.write( "B) 2- 2(square root of 3)\r<BR>\n" );
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document.write( "C) 2+ square root of 3\r<BR>\n" );
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document.write( "D) 2+ 2(square root of 3)\r<BR>\n" );
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document.write( "E) 2- square root of 3<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #832278 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=832278\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> selection E is your solution.\r<BR>\n" );
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document.write( "the identity formula used to find that is tan(x/2) = (1 - cos(x) / sin(x)\r<BR>\n" );
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document.write( "when x/2 = 15 degrees, x = 30<BR>\n" );
document.write( "cos(x) = sqrt(3)/2<BR>\n" );
document.write( "sin(x) =  1/2\r<BR>\n" );
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document.write( "(1 - cos(x) / sin(x) = (1 - sqrt(3)/3) / (1/2) = 2 - sqrt(3).<BR>\n" );
document.write( "that's selection E.\r<BR>\n" );
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document.write( "you can confirm using your caalculator.<BR>\n" );
document.write( "tan(15) = .2679491924<BR>\n" );
document.write( "2 - sqrt(3) = the same.<BR>\n" );
document.write( "(1 - cos(30))/sin(30) = the same.\r<BR>\n" );
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document.write( "here's a reference.<BR>\n" );
document.write( "<a  rel=nofollow HREF= \"https://www.cuemath.com/half-angle-formula/\" target = \"_blank\">https://www.cuemath.com/half-angle-formula/</a><BR>\n" );
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