document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=607040>Question 607040</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can someone please help me with this question?! Thank you!\r<BR>\n" );
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document.write( "If sin(alpha)=0.871 and sin(beta)=0.966 with both angles’ terminal rays in Quadrant-I, find the values of tan(alpha + beta). Your answers should be accurate to 4 decimal places. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #382494 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=382494\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Can someone please help me with this question?! Thank you! <BR>\n" );
document.write( "If sin(alpha)=0.871 and sin(beta)=0.966 with both angles’ terminal rays in Quadrant-I, find the values of tan(alpha + beta). Your answers should be accurate to 4 decimal places.<BR>\n" );
document.write( "**<BR>\n" );
document.write( "sin a=.871=opp side/hypotenuse=.871/1<BR>\n" );
document.write( "adj side=&#8730;(1^-.871^2)=&#8730;.2414&#8776;.4913<BR>\n" );
document.write( "tan a=opp/adj=.871/.4913&#8776;1.7728<BR>\n" );
document.write( "..<BR>\n" );
document.write( "sin b=.966=opp side/hypotenuse=.966/1<BR>\n" );
document.write( "adj side=&#8730;(1^-.966^2)=&#8730;.0668&#8776;.2585<BR>\n" );
document.write( "tan b=opp side/adj side=.966/.2585&#8776;3.7370<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Using tan addition formula:<BR>\n" );
document.write( "tan(a+b)=(tan a+ tan b)/(1-tan a tan b)<BR>\n" );
document.write( "=(1.7728+3.7370)/(1-1.7728*3.7570)<BR>\n" );
document.write( "=5.5098/-5.6604=-.9734<BR>\n" );
document.write( "tan(a+b)=-.9734 (in quadrant II where tan <0)<BR>\n" );
document.write( " </SPAN>\n" );
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