document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=978342>Question 978342</A>: <I><SPAN STYLE=\"word-break: break-all;\">  Could you guys help me to simplify this trig. equation?\r<BR>\n" );
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document.write( "This is what I did, but it's wrong: \r<BR>\n" );
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document.write( "http://s14.postimg.org/e784a0l8x/IMG_1202.jpg\r<BR>\n" );
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document.write( "The answer is:\r<BR>\n" );
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document.write( "x/(sqr(9-x^2))\r<BR>\n" );
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document.write( "I kind of know the process but I'm obviously doing something wrong, what is it? :/  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #599773 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=599773\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "Every time you write something, ask yourself: \"Does this make sense?\" before you go on to the next step.\r<BR>\n" );
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document.write( "I see you have your right triangle labeled with <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \sqrt{9\ -\ x^2}\"> on the hypotenuse and <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 3\"> on one of the legs.  Here is a good place to ask yourself if what you wrote makes sense.\r<BR>\n" );
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document.write( "Start with the fact that the longest side of any right triangle is the hypotenuse.  Now consider the fact that the value of <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 3\sin\theta\"> is in the interval <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large -3\ \leq\ x\ \leq\ 3\">, which means that the value of <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \sqrt{9\ -\ x^2}\"> where <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\ =\ 3\sin\theta\"> is in the interval <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 0\ \leq\ \sqrt{9\ -\ x^2}\ \leq\ 3\">.  Consequently, with the way you labeled your triangle, the largest your hypotenuse can be is 3, when indeed for a triangle to exist it must be larger than 3.  So no, what you wrote doesn't make sense.\r<BR>\n" );
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document.write( "Then you assert:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \  \sqrt{3^2\ -\ (3\sin\theta)^2}\ =\ 3\ -\ 3\sin\theta\">\r<BR>\n" );
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document.write( "Does this make sense?  Let's choose <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \theta\ =\ \frac{\pi}{6}\"> so that <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \sin\theta\ =\ 0.5\">\r<BR>\n" );
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document.write( "So, according to your assertion:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \  \sqrt{9\ -\ (1.5)^2}\ =\ 3\ -\ 1.5\">\r<BR>\n" );
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document.write( "You can do your own arithmetic to convince yourself that this is an absurd claim.\r<BR>\n" );
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document.write( "Re-do your problem fixing the two problems I have pointed out and see if you don't get a better result.  Let me know how it went.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
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