document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=446108>Question 446108</A>: <I><SPAN STYLE=\"word-break: break-all;\"> VERIFY each trigonometric identity:\r<BR>\n" );
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document.write( "I'd appreciate any help:)<BR>\n" );
document.write( "a) (1/cos^2x)-(1/cot^2x)=1<BR>\n" );
document.write( "b) (sinx/1+cosx)=(1-cosx/sinx)<BR>\n" );
document.write( "c) (secx/sinx)-(sinx/cosx)=cotx<BR>\n" );
document.write( "d) (cos^2x/1-sinx)=sinx+1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #307181 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=307181\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> VERIFY each trigonometric identity: <BR>\n" );
document.write( "I'd appreciate any help:)<BR>\n" );
document.write( "a) (1/cos^2x)-(1/cot^2x)=1<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Multiply thru by cot^2 to get:<BR>\n" );
document.write( "[cos^2/sin^2][1/cos^2) - 1 = cot^2<BR>\n" );
document.write( "Cancel the cos^2:<BR>\n" );
document.write( "1/sin^2 - 1 = cot^2<BR>\n" );
document.write( "csc^2-1 = cot^2<BR>\n" );
document.write( "cot^2 = cot^2<BR>\n" );
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document.write( "b) (sinx/1+cosx)=(1-cosx/sinx)<BR>\n" );
document.write( "Cross-multiply:<BR>\n" );
document.write( "sin^2 = (1+cos)(1-cos)<BR>\n" );
document.write( "sin^2 = 1-cos^2<BR>\n" );
document.write( "sin^2 = sin^2<BR>\n" );
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document.write( "c) (secx/sinx)-(sinx/cosx)=cotx<BR>\n" );
document.write( "Multiply thru by sincos to get:<BR>\n" );
document.write( "(cos*sec) - sin^2 = cos^2<BR>\n" );
document.write( "1-sin^2 = cos^2<BR>\n" );
document.write( "cos^2 = cos^2<BR>\n" );
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document.write( "d) (cos^2x/1-sinx)=sinx+1<BR>\n" );
document.write( "Multiply both sides by 1-sin to the:<BR>\n" );
document.write( "cos^2 = (1-sin)(1+sin)<BR>\n" );
document.write( "cos^2 = 1-sin^2<BR>\n" );
document.write( "cos^2 = cos^2<BR>\n" );
document.write( "============================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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