document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=918951>Question 918951</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve for x: (this will be an inverse trigonometric expression, not a numeric answer). 25y=5cos(3x-6) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #557334 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=557334\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> i ran out of time but i think this is the correct answer.<BR>\n" );
document.write( "check it out and see if you agree.<BR>\n" );
document.write( "i graphed it and it looks ok but i don't have the time to extensively test it, although i'm pretty sure it's what you need.\r<BR>\n" );
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document.write( "basic definition is that y = cos(x) if and only if x = arc-cosine(y)\r<BR>\n" );
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document.write( "in your problem, you would use this as follows:\r<BR>\n" );
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document.write( "start with 25y = 5 * cosine(3x-6)\r<BR>\n" );
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document.write( "divide both sides of the equation by 5 to get:\r<BR>\n" );
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document.write( "5y = cosine(3x-6)\r<BR>\n" );
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document.write( "this is true if and only if arc-cosine(5y) = 3x - 6\r<BR>\n" );
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document.write( "add 6 to both sides of the equation to get:\r<BR>\n" );
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document.write( "arc-cosine(5y) + 6 = 3x\r<BR>\n" );
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document.write( "divide both sides of the equation by 3 to get:\r<BR>\n" );
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document.write( "x = (arc-cosine(5y) + 6) / 3\r<BR>\n" );
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document.write( "that should be your solution.\r<BR>\n" );
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document.write( "i tested it on 5y = 1/2\r<BR>\n" );
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document.write( "if 5y = 1/2, then arc-cosine (5y) = 60 degrees.\r<BR>\n" );
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document.write( "can't continue.\r<BR>\n" );
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document.write( "i have to leave now.\r<BR>\n" );
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document.write( "if you have further questions on this send them to me and i'll look at them later this evening or tomorrow morning.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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