document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=507836>Question 507836</A>: <I><SPAN STYLE=\"word-break: break-all;\"> By using trigonometric identities, find the value of sin A if tan A = 1/2. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #340733 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=340733\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> By using trigonometric identities, find the value of sin A if tan A = 1/2.<BR>\n" );
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document.write( "I'll assume A is in the 1st quadrant where both x and y are positive.<BR>\n" );
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document.write( "tan (A) = y/x = 1/2<BR>\n" );
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document.write( "y = 1 and x = 2<BR>\n" );
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document.write( "Then r = sqrt[1^2+2^2] = sqrt(5)<BR>\n" );
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document.write( "sin = y/r = 1/sqrt(5)<BR>\n" );
document.write( "cos = x/r = 2/sqrt(5)<BR>\n" );
document.write( "tan = y/x = 1/2<BR>\n" );
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document.write( "csc = r/y = sqrt(5)<BR>\n" );
document.write( "sec = r/x = sqrt(5)/2<BR>\n" );
document.write( "ctn = x/y = 2<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "============ </SPAN>\n" );
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