document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=198688>Question 198688</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello! My name is Aeriin yanu and I am having troubles with proving trigonometric identity. I just learned the lesson today and I don't really understand the lesson. Can you show me how you can solve a trigonometric identity? <BR>\n" );
document.write( "ex: \r<BR>\n" );
document.write( "\n" );
document.write( "sin square root of 2 phata+ sin square root of 2 phata cotangentsquare root of 2 phata= 1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #149195 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=149195\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \sin^2(\theta)+\sin^2(\theta)\cot^2(\theta)=1\"> ... Start with the given equation.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \sin^2(\theta)+\sin^2(\theta)\left(\frac{\cos^2(\theta)}{\sin^2(\theta)}\right)=1\"> ... Replace cotangent with cosine over sine. Recall: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cot%28x%29=cos%28x%29%2Fsin%28x%29 ALIGN=MIDDLE  ALT=\"cot%28x%29=cos%28x%29%2Fsin%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \sin^2(\theta)+\frac{\sin^2(\theta)\cos^2(\theta)}{\sin^2(\theta)}=1\"> ... Multiply\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \sin^2(\theta)+\cos^2(\theta)=1\"> ... Cancel out the common terms.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 1=1\"> ... Use the identity <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \sin^2(\theta)+\cos^2(\theta)=1\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So this verifies the identity. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );