document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1185157>Question 1185157</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What happens to cos θ as θ approaches 0 radians? Why?<BR>\n" );
document.write( "What happens to sin θ as θ approaches 0 radians? Why?<BR>\n" );
document.write( "What happens to tan θ as θ approaches 0 radians? Why?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #815917 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20855)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=815917\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "What happens to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28theta%29 ALIGN=MIDDLE  ALT=\"cos%28theta%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=theta ALIGN=MIDDLE  ALT=\"theta\"   DISABLED_style= \"max-width:90%; height:auto;\" > approaches <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90 ALIGN=MIDDLE  ALT=\"90\"   DISABLED_style= \"max-width:90%; height:auto;\" > degrees? Why?\r<BR>\n" );
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document.write( "answer: Right -angled triangle! <BR>\n" );
document.write( "All triangles have 3 angles that add to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=180 ALIGN=MIDDLE  ALT=\"180\"   DISABLED_style= \"max-width:90%; height:auto;\" > degrees. Therefore, if one angle is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90 ALIGN=MIDDLE  ALT=\"90\"   DISABLED_style= \"max-width:90%; height:auto;\" > degrees we can figure out <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28theta%29+=+cos+%2890+-%28theta%29%29 ALIGN=MIDDLE  ALT=\"sin%28theta%29+=+cos+%2890+-%28theta%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos+%28theta%29+=+sin+%2890+-+%28theta%29%29 ALIGN=MIDDLE  ALT=\"cos+%28theta%29+=+sin+%2890+-+%28theta%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF=\"https://ibb.co/LPRgVKQ\"><IMG STYLE=\"max-width:80%;\" src=\"https://i.ibb.co/LPRgVKQ/cos.png\" alt=\"cos\" border=\"0\"></a>\r<BR>\n" );
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document.write( "What happens to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28theta%29 ALIGN=MIDDLE  ALT=\"sin%28theta%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=theta ALIGN=MIDDLE  ALT=\"theta\"   DISABLED_style= \"max-width:90%; height:auto;\" > approaches <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90 ALIGN=MIDDLE  ALT=\"90\"   DISABLED_style= \"max-width:90%; height:auto;\" > degrees? Why?\r<BR>\n" );
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document.write( "As the angle approaches 90 degrees, the triangle will be compressed horizontally and the cosine approaches <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=zero ALIGN=MIDDLE  ALT=\"zero\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF=\"https://ibb.co/Jn4G7hW\"><IMG STYLE=\"max-width:80%;\" src=\"https://i.ibb.co/Jn4G7hW/sin.png\" alt=\"sin\" border=\"0\"></a>\r<BR>\n" );
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document.write( "What happens to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%28theta%29 ALIGN=MIDDLE  ALT=\"tan%28theta%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=theta ALIGN=MIDDLE  ALT=\"theta\"   DISABLED_style= \"max-width:90%; height:auto;\" > approaches <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90 ALIGN=MIDDLE  ALT=\"90\"   DISABLED_style= \"max-width:90%; height:auto;\" > degrees? Why?\r<BR>\n" );
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document.write( "At zero degrees this tangent length will be zero. Hence, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%28theta%29=0 ALIGN=MIDDLE  ALT=\"tan%28theta%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >. As our first quadrant angle increases, the tangent will increase very rapidly. As we get closer to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90+ ALIGN=MIDDLE  ALT=\"90+\"   DISABLED_style= \"max-width:90%; height:auto;\" >degrees, this length will get incredibly large. At <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90 ALIGN=MIDDLE  ALT=\"90\"   DISABLED_style= \"max-width:90%; height:auto;\" > degrees we must say that the tangent is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=undefined ALIGN=MIDDLE  ALT=\"undefined\"   DISABLED_style= \"max-width:90%; height:auto;\" >, because when you divide the leg opposite by the leg adjacent you cannot divide by zero.\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF=\"https://ibb.co/zNM7NDc\"><IMG STYLE=\"max-width:80%;\" src=\"https://i.ibb.co/zNM7NDc/tan.png\" alt=\"tan\" border=\"0\"></a>\r<BR>\n" );
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