document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=922020>Question 922020</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose cot t = &#8722;0.8 and t is in quadrant IV. Find each of the following\r<BR>\n" );
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document.write( "sin (t + 4&#960;) = <BR>\n" );
document.write( "tan (t + 11&#960;) = \r<BR>\n" );
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document.write( "please give detail on how these are solved. I've figured out that opposite = -5, adjacent = 4 and hypotenuse = &#8730;41 but I am stuck on solving these.\r<BR>\n" );
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document.write( "Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #559475 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=559475\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You have a good start.<BR>\n" );
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document.write( "TIP:<BR>\n" );
document.write( "Think of the period of the functions.<BR>\n" );
document.write( "Sine has a period of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2pi ALIGN=MIDDLE  ALT=\"2pi\"   DISABLED_style= \"max-width:90%; height:auto;\" > , so it repeats after <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2pi ALIGN=MIDDLE  ALT=\"2pi\"   DISABLED_style= \"max-width:90%; height:auto;\" > :<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28t%29 ALIGN=MIDDLE  ALT=\"sin%28t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28t%2B2pi%29 ALIGN=MIDDLE  ALT=\"sin%28t%2B2pi%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28t%2B4pi%29 ALIGN=MIDDLE  ALT=\"sin%28t%2B4pi%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28t%2B6pi%29 ALIGN=MIDDLE  ALT=\"sin%28t%2B6pi%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >= ...<BR>\n" );
document.write( "Tangent has a period of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi ALIGN=MIDDLE  ALT=\"pi\"   DISABLED_style= \"max-width:90%; height:auto;\" > , so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%28t%2B11pi%29=tan%28t%29 ALIGN=MIDDLE  ALT=\"tan%28t%2B11pi%29=tan%28t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "In other words, all those extra <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi ALIGN=MIDDLE  ALT=\"pi\"   DISABLED_style= \"max-width:90%; height:auto;\" >'s were there just to confuse you.<BR>\n" );
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document.write( "I was seeing it as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C-1.5%2C1.5%2C-1.5%2C1.5%2C%0D%0Agrid%280%29%2Carrow%280%2C0%2C1.2%2C-1.5%29%2C%0D%0Ablue%28triangle%280%2C0%2C0.8%2C0%2C0.8%2C-1%29%29%2C%0D%0Ablue%28rectangle%280.8%2C0%2C0.7%2C-0.1%29%29%2C%0D%0Ared%28arc%280%2C0%2C1.2%2C1.2%2C0%2C51.34%29%29%2C%0D%0Ared%28triangle%280.375%2C-.469%2C0.375%2C-.369%2C0.475%2C-.469%29%29%2C%0D%0Alocate%280.45%2C-0.15%2Cred%28t%29%29%2C%0D%0Alocate%280.8%2C-0.45%2Cblue%281%29%29%2Clocate%280.2%2C0%2Cblue%280.8%29%29%2C%0D%0Alocate%280.02%2C-0.55%2Cblue%28sqrt%281.64%29%29%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > , but that is a scaled down version of your bigger triangle,<BR>\n" );
document.write( "and I like your big triangle better:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C-0.5%2C6%2C-6%2C0.5%2C%0D%0Agrid%280%29%2Carrow%280%2C0%2C4.8%2C-6%29%2C%0D%0Ablue%28triangle%280%2C0%2C4%2C0%2C4%2C-5%29%29%2C%0D%0Ablue%28rectangle%284%2C0%2C3.5%2C-0.5%29%29%2C%0D%0Ared%28arc%280%2C0%2C5.8%2C5.8%2C0%2C51.34%29%29%2C%0D%0Ared%28triangle%281.81%2C-2.26%2C1.81%2C-2.16%2C1.91%2C-2.26%29%29%2C%0D%0Alocate%282.5%2C-0.75%2Cred%28t%29%29%2C%0D%0Alocate%284.05%2C-2.5%2Cblue%285%29%29%2C%0D%0Alocate%281.5%2C-2.5%2Cblue%28sqrt%2841%29%29%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28t%29=-5%2Fsqrt%2841%29=-5sqrt%2841%29%2F41 ALIGN=MIDDLE  ALT=\"sin%28t%29=-5%2Fsqrt%2841%29=-5sqrt%2841%29%2F41\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Also, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%28t%29=1%2Fcot%28t%29=1%2F0.8=1.25 ALIGN=MIDDLE  ALT=\"tan%28t%29=1%2Fcot%28t%29=1%2F0.8=1.25\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28sin%28t%2B4pi%29=-5sqrt%2841%29%2F41%29 ALIGN=MIDDLE  ALT=\"highlight%28sin%28t%2B4pi%29=-5sqrt%2841%29%2F41%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28tan%28t%2B11pi%29=1.25%29 ALIGN=MIDDLE  ALT=\"highlight%28tan%28t%2B11pi%29=1.25%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > . </SPAN>\n" );
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