document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=922169>Question 922169</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a. simplify (csc^2x-cot^2x)/(sec^2x) your final solution should involve a single trigonometric function and no quotients.\r<BR>\n" );
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document.write( "b. Evaluate: cos(5&#960;/6) tan(4&#960;/3) - sin(-17&#960;/4) cos(164&#960;)\r<BR>\n" );
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document.write( "Please be descriptive<BR>\n" );
document.write( "Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #559427 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=559427\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a. simplify (csc^2x-cot^2x)/(sec^2x) your final solution should involve a single trigonometric function and no quotients.<BR>\n" );
document.write( "---<BR>\n" );
document.write( "[(1/sin^2)-(cos^2/sin^2)] / (1/cos^2)<BR>\n" );
document.write( "[1-cos^2)/sin^2] / (1/cos^2)<BR>\n" );
document.write( "[sin^2)/sin^2 / (1/cos^2)<BR>\n" );
document.write( "1/(1/cos^2(x)<BR>\n" );
document.write( "= cos^2(x)<BR>\n" );
document.write( "========================================\r<BR>\n" );
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document.write( "b. Evaluate: cos(5&#960;/6) tan(4&#960;/3) - sin(-17&#960;/4) cos(164&#960;)<BR>\n" );
document.write( "= (-cos(pi/6)*(-tan(pi/3) - (-sin(pi/4))*(cos(0))<BR>\n" );
document.write( "------<BR>\n" );
document.write( "= (sqrt(3)/2)(-sqrt(3)) - (sqrt(2)/2)(1)<BR>\n" );
document.write( "------<BR>\n" );
document.write( "= (-3/2) - (sqrt(2)/2)<BR>\n" );
document.write( "------<BR>\n" );
document.write( "= (-3-sqrt(2))/2<BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( "Please be descriptive<BR>\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );