document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=958120>Question 958120</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose x  is a real number such that 5cos(&#981;)=x  where &#981;  is a first quadrant angle. Find algebraic expressions (in terms of 5  and x ) for sin(&#981;)  and tan(&#981;).   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #585521 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=585521\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Suppose x is a real number such that 5cos(&#981;)=x where &#981; is a first quadrant angle. Find algebraic expressions (in terms of 5 and x ) for sin(&#981;) and tan(&#981;).<BR>\n" );
document.write( "***<BR>\n" );
document.write( "5cos&#981;=x<BR>\n" );
document.write( "cos&#981;=x/5<BR>\n" );
document.write( "sin&#981;=&#8730;(1-cos^2(&#981;))=&#8730;(1-x^2/25)=&#8730;((25-x^2)/25)=&#8730;(5^2-x^2)/5<BR>\n" );
document.write( "tan&#981;=sin&#981;/cos&#981;=&#8730;(5^2-x^2)/x </SPAN>\n" );
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