document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=122536>Question 122536</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 13)    sec(arcsin 8/17)\r<BR>\n" );
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document.write( "a)       17/8\r<BR>\n" );
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document.write( "b)       15/17\r<BR>\n" );
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document.write( "c)       17/15\r<BR>\n" );
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document.write( "d)       8/15\r<BR>\n" );
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document.write( "e)       None of these\r<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 #89945 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=89945\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> # 13\r<BR>\n" );
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document.write( "First a triangle with a leg of 8 and and a hypotenuse 17. Let x be the angle we'll refer to.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28500%2C500%2C-20%2C20%2C-20%2C20%2C%0D%0Aline%280%2C0%2C15%2C0%29%2C%0D%0Aline%2815%2C0%2C15%2C8%29%2C%0D%0Aline%2815%2C8%2C0%2C0%29%2C%0D%0Alocate%282.8%2C1.4%2C17%29%2C%0D%0Alocate%287.5%2C-1%2Cx%29%2C%0D%0Alocate%2815.2%2C4%2C8%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "By using pythagorean's theorem, we find that the other leg is 15 units\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28500%2C500%2C-20%2C20%2C-20%2C20%2C%0D%0Aline%280%2C0%2C15%2C0%29%2C%0D%0Aline%2815%2C0%2C15%2C8%29%2C%0D%0Aline%2815%2C8%2C0%2C0%29%2C%0D%0Alocate%282.8%2C1.4%2Cx%29%2C%0D%0Alocate%287.5%2C-1%2C15%29%2C%0D%0Alocate%2815.2%2C4%2C8%29%2C%0D%0Alocate%287.5%2C6%2C17%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28x%29=opposite%2Fadjacent ALIGN=MIDDLE  ALT=\"sin%28x%29=opposite%2Fadjacent\"   DISABLED_style= \"max-width:90%; height:auto;\" >  this means <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=arcsin%288%2F17%29 ALIGN=MIDDLE  ALT=\"x=arcsin%288%2F17%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > (notice how the arcsine gives you an angle)\r<BR>\n" );
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document.write( "Now remember <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28x%29=adjacent%2Fhypotenuse ALIGN=MIDDLE  ALT=\"cos%28x%29=adjacent%2Fhypotenuse\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sec%28x%29=1%2Fcos%28x%29=hypotenuse%2Fadjacent ALIGN=MIDDLE  ALT=\"sec%28x%29=1%2Fcos%28x%29=hypotenuse%2Fadjacent\"   DISABLED_style= \"max-width:90%; height:auto;\" > (note: the secant and cosine functions are reciprocals of each other)<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sec%28x%29=17%2F15 ALIGN=MIDDLE  ALT=\"sec%28x%29=17%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "which also means\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sec%28arcsin%288%2F17%29%29=17%2F15 ALIGN=MIDDLE  ALT=\"sec%28arcsin%288%2F17%29%29=17%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the answer is C)<BR>\n" );
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