document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=706384>Question 706384</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Verify that each equation is an identity.\r<BR>\n" );
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document.write( "tan(theta)sin2(theta)=2-2cos^2(theta) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #435320 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=435320\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Verify that each equation is an identity. <BR>\n" );
document.write( "tan(theta)sin2(theta)=2-2cos^2(theta)<BR>\n" );
document.write( "**<BR>\n" );
document.write( "tanxsin2x=2-2cos^2x<BR>\n" );
document.write( "Start with left side:<BR>\n" );
document.write( "tanxsin2x=(sinx/cosx)(2sinxcosx)<BR>\n" );
document.write( "cosx cancels out<BR>\n" );
document.write( "2sin^x<BR>\n" );
document.write( "=2(1-cos^x)<BR>\n" );
document.write( "=2-2cos^2x<BR>\n" );
document.write( "verified: left side=right side </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );