document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1093671>Question 1093671</A>: <I><SPAN STYLE=\"word-break: break-all;\">  Using the basic identities, find the value of csc&#920; if cot&#920; = -12/5.<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 #708323 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=708323\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the triangle formed is a right triangle in the second quadrant.\r<BR>\n" );
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document.write( "the hypotenuse of that triangle is equal to the square root of the sum of the legs squared which is equal to sqrt(12^2 + 5^2) = sqrt(169) = 13.\r<BR>\n" );
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document.write( "see the diagram below:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2017/091501.jpg\" alt=\"$$$\" >\r<BR>\n" );
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document.write( "in this triangle:\r<BR>\n" );
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document.write( "opposite side of the angle is equal to 5.<BR>\n" );
document.write( "adjacent side of the angle is equal to -12.<BR>\n" );
document.write( "hypotenuse of the triangle formed is equal to 13.\r<BR>\n" );
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document.write( "i called the angle T which stands for theta in this case.\r<BR>\n" );
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document.write( "sin(T) = opposite / hypotenuse = 5/13.\r<BR>\n" );
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document.write( "csc(T) = hypotenuse / opposite = 13/5\r<BR>\n" );
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document.write( "csc(T) is also equal to 1 / sin(t) = 1 / (5/13) = 13/5.\r<BR>\n" );
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document.write( "that's your answer.\r<BR>\n" );
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document.write( "csc(T) = 13/5\r<BR>\n" );
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document.write( "general formula used to find the hypotenuse:\r<BR>\n" );
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document.write( "c^2 = a^2 + b^2\r<BR>\n" );
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document.write( "c is the hypotenuse<BR>\n" );
document.write( "a is one of the legs of the right triangle.<BR>\n" );
document.write( "b is the other leg of the right triangle.\r<BR>\n" );
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document.write( "length of the hypotenuse is found by finding sqrt(c^2).\r<BR>\n" );
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document.write( "when graphing the angle and the right triangle formed:\r<BR>\n" );
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document.write( "x = a<BR>\n" );
document.write( "y = b<BR>\n" );
document.write( "h = c\r<BR>\n" );
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document.write( "formula becomes h^2 = x^2 + y^2\r<BR>\n" );
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document.write( "x is the side adjacent to the angle formed.<BR>\n" );
document.write( "y is the side opposite to the angle formed.<BR>\n" );
document.write( "h is the hypotenuse of the right triangle formed.<BR>\n" );
document.write( "the angle formed is at the origin of the graph which is the intersection of the x and y axes.\r<BR>\n" );
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