document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=3545>Question 3545</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If sin x is not equal to zero, what is the solution of csc x - (cos x)(cot x)?\r<BR>\n" );
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document.write( "What is the answer to sin (x - pi)? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #1568 by </B><A HREF=/tutors/aboutme.mpl?userid=khwang><B>khwang(438)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=khwang><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=1568\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Do you mean csc x = (cos x)(cot x)<BR>\n" );
document.write( " or 1/sin x = cos x * cos x/sin x <BR>\n" );
document.write( " or (1- cos^2 x)/sin x = 0,<BR>\n" );
document.write( " or sin^2 x / sin x  = 0<BR>\n" );
document.write( " Since sin x <> 0, we have sin x = 0 (impossible)\r<BR>\n" );
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document.write( " Plz check your typing.<BR>\n" );
document.write( " Whatever the given form is not so important.<BR>\n" );
document.write( " You only need to simplify  <BR>\n" );
document.write( " (cos x)(cot x) = cos^2 x / sin x = (1-sin^2 x)/ sin x<BR>\n" );
document.write( " and then try to solve by yourself.\r<BR>\n" );
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document.write( " Next, use sin (-A) = - sin A and sin(pi - A) = sin A.<BR>\n" );
document.write( " We see that<BR>\n" );
document.write( " sin(x -pi) = sin(-(pi -x)) = - sin(pi-x) = -sin x.\r<BR>\n" );
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document.write( " Kenny </SPAN>\n" );
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