document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=163546>Question 163546</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi ! \r<BR>\n" );
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document.write( "I have a couple of questions that I am stuck on!\r<BR>\n" );
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document.write( "First:\r<BR>\n" );
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document.write( "Express sin(x^2+1) in terms of sin(x^2) and cos(x^2)\r<BR>\n" );
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document.write( "second:\r<BR>\n" );
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document.write( "Express tan(x+2) in terms of tan(x).\r<BR>\n" );
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document.write( "One other question I have, if you are given coordinates is it possible to work out the equation of a straight line from the coordinates?\r<BR>\n" );
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document.write( "e.g. my question is:\r<BR>\n" );
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document.write( "Find the equation of a straight line which passes through the points (-1, -5) and 3,3) \r<BR>\n" );
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document.write( "Really appreciate any help i can get! Thanks!!  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #120545 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=120545\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28a%2Bb%29=sin%28a%29cos%28b%29%2Bcos%28a%29sin%28b%29 ALIGN=MIDDLE  ALT=\"sin%28a%2Bb%29=sin%28a%29cos%28b%29%2Bcos%28a%29sin%28b%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28x%5E2%2B1%29=sin%28x%5E2%29cos%281%29%2Bcos%28x%5E2%29sin%281%29 ALIGN=MIDDLE  ALT=\"sin%28x%5E2%2B1%29=sin%28x%5E2%29cos%281%29%2Bcos%28x%5E2%29sin%281%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "2.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%28a%2Bb%29=%28tan%28a%29%2Btan%28b%29%29%2F%281-tan%28a%29tan%28b%29%29 ALIGN=MIDDLE  ALT=\"tan%28a%2Bb%29=%28tan%28a%29%2Btan%28b%29%29%2F%281-tan%28a%29tan%28b%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%28x%2B2%29=%28tan%28x%29%2Btan%282%29%29%2F%281-tan%28x%29tan%282%29%29 ALIGN=MIDDLE  ALT=\"tan%28x%2B2%29=%28tan%28x%29%2Btan%282%29%29%2F%281-tan%28x%29tan%282%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "3.Yes, you can calculate the slope from the two points.<BR>\n" );
document.write( "Then use the point-slope form of a line.<BR>\n" );
document.write( "First, the slope,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29%29 ALIGN=MIDDLE  ALT=\"m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=%283-%28-5%29%29%2F%283-%28-1%29%29%29 ALIGN=MIDDLE  ALT=\"m=%283-%28-5%29%29%2F%283-%28-1%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=8%2F4%29 ALIGN=MIDDLE  ALT=\"m=8%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=2 ALIGN=MIDDLE  ALT=\"m=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now that you have the slope, use the point-slope form,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-y%5Bp%5D=m%28x-x%5Bp%5D%29 ALIGN=MIDDLE  ALT=\"y-y%5Bp%5D=m%28x-x%5Bp%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You can use either point. <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-3=2%28x-3%29 ALIGN=MIDDLE  ALT=\"y-3=2%28x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-3=2x-6 ALIGN=MIDDLE  ALT=\"y-3=2x-6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2x-3 ALIGN=MIDDLE  ALT=\"y=2x-3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Here's graphical verification. <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28+300%2C+300%2C+-5%2C+5%2C+-5%2C+5%2Cgrid%28+1+%29%2Ccircle%28-1%2C-5%2C.2%29%2Ccircle%28+3%2C+3%2C+.2+%29%2Cgreen%28line%28+10%2C+17%2C+-10%2C+-23%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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