document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1152350>Question 1152350</A>: <I><SPAN STYLE=\"word-break: break-all;\"> θ is an acute angle and sin θ and cos θ are given. Use identities to find the indicated value.<BR>\n" );
document.write( "Sinθ= 2/7, Cosθ= 3 radical 5/ 7, find tan </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #774358 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=774358\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \sin \theta = \frac{2}{7} \ \ \"> is given\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \cos \theta = \frac{3\sqrt{5}}{7} \ \ \"> is also given\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \tan \theta = \frac{\sin \theta}{\cos \theta} \ \ \"> is one of the many trig identities\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \tan \theta = \sin \theta \div \cos \theta \ \ \">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \tan \theta = \frac{2}{7} \div \frac{3\sqrt{5}}{7} \ \ \"> Plug in given values\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \tan \theta = \frac{2}{7} \times \frac{7}{3\sqrt{5}} \ \ \"> Flip the second fraction and multiply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \tan \theta = \frac{2*7}{7*3\sqrt{5}} \ \ \">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \tan \theta = \frac{2}{3\sqrt{5}} \ \ \">The 7s cancel. See note below.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \tan \theta = \frac{2\sqrt{5}}{3\sqrt{5}*\sqrt{5}} \ \ \"> Multiply top and bottom by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%285%29 ALIGN=MIDDLE  ALT=\"sqrt%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > so we can rationalize the denominator.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \tan \theta = \frac{2\sqrt{5}}{3\sqrt{5*5}} \ \ \"> Use the rule <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%29%2Asqrt%28y%29+=+sqrt%28x%2Ay%29 ALIGN=MIDDLE  ALT=\"sqrt%28x%29%2Asqrt%28y%29+=+sqrt%28x%2Ay%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \tan \theta = \frac{2\sqrt{5}}{3\sqrt{25}} \ \ \">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \tan \theta = \frac{2\sqrt{5}}{3*5} \ \ \">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \tan \theta = \frac{2\sqrt{5}}{15} \ \ \"> is the final answer\r<BR>\n" );
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document.write( "Note: if you are not required to rationalize the denominator, then you can stop at this step.<BR>\n" );
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