document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=78671>Question 78671</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need to figure out how can I solve this problems? can any body help to me or any idea? really I need a tutorial to solve this problems.<BR>\n" );
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document.write( "1. Consider the graph of y = tan x. <BR>\n" );
document.write( "(a) How does it show that the tangent of 90 degrees is undefined?<BR>\n" );
document.write( "(b) What are other undefined x values?<BR>\n" );
document.write( "(c) What is the value of the tangent of angles that are close to 90 degrees (say 89.9 degrees and 90.01 degrees)? <BR>\n" );
document.write( "(d) How does the graph show this? <BR>\n" );
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document.write( "2. A nautical mile depends on latitude. It is defined as length of a minute of arc of the earth's radius. The formula is N(P) = 6066 - 31 cos 2P, where P is the latitude in degrees. <BR>\n" );
document.write( "(a) Using the Library and other course resources, find the exact latitude (to 4 decimal places) of where you live, used to live, work, or used to work (include the zip code). <BR>\n" );
document.write( "(b) Using the latitude found in part a and the formula N(P), find the length of a nautical mile to the nearest foot at that location. <BR>\n" );
document.write( "(c) Next, use the formula N(P) to find the latitude where the nautical mile is 6051 feet. <BR>\n" );
document.write( "(d) Name two cities in the Northern Hemisphere and two in the Southern that are close to the latitude found in part c. \r<BR>\n" );
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document.write( "3. When graphed using polar coordinates, the center of a regular nonagon is at the origin and one vertex is at (6, 0 degrees) or (6, 0 radians). Find the polar coordinates of the other vertices in both degrees and radians.<BR>\n" );
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document.write( "I traying to use this polar cordination to solve all the problems, but i'am lost I want to learn Trigo. I need hlep.\r<BR>\n" );
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document.write( "The polar cordination<BR>\n" );
document.write( "http://www.analyzemath.com/polarcoordinates/polarcoordinates.html </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #56429 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=56429\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. Consider the graph of y = tan x. <BR>\n" );
document.write( "(a) How does it show that the tangent of 90 degrees is undefined?<BR>\n" );
document.write( "It has a vertical asymptote at x=90 degrees<BR>\n" );
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document.write( "(b) What are other undefined x values?<BR>\n" );
document.write( "90 degrees + and 180n degrees - 180n degrees where n=1,2,3,....<BR>\n" );
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document.write( "(c) What is the value of the tangent of angles that are close to 90 degrees <BR>\n" );
document.write( "(say 89.9 degrees and 90.01 degrees)?<BR>\n" );
document.write( "They approach infinity from below 90 and approach -infinity as they approach<BR>\n" );
document.write( "90 degrees from above.<BR>\n" );
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document.write( "(d) How does the graph show this? <BR>\n" );
document.write( "Asymptotes<BR>\n" );
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document.write( "2. A nautical mile depends on latitude. It is defined as length of a minute of arc of the earth's radius. The formula is N(P) = 6066 - 31 cos 2P, where P is the latitude in degrees. <BR>\n" );
document.write( "(a) Using the Library and other course resources, find the exact latitude (to 4 decimal places) of where you live, used to live, work, or used to work (include the zip code). <BR>\n" );
document.write( "Use Google or other search engine.<BR>\n" );
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document.write( "(b) Using the latitude found in part a and the formula N(P), find the length of a nautical mile to the nearest foot at that location. <BR>\n" );
document.write( "(c) Next, use the formula N(P) to find the latitude where the nautical mile is 6051 feet. <BR>\n" );
document.write( "(d) Name two cities in the Northern Hemisphere and two in the Southern that are close to the latitude found in part c. <BR>\n" );
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document.write( "3. When graphed using polar coordinates, the center of a regular nonagon is at the origin and one vertex is at (6, 0 degrees) or (6, 0 radians). Find the polar coordinates of the other vertices in both degrees and radians.<BR>\n" );
document.write( "I think a nonagon has nine sides 360/9=40 degrees<BR>\n" );
document.write( "You have vertices at (6,40 degrees), (6,80 degrees), (6,120 degrees) etc<BR>\n" );
document.write( "In radians you have (6,40(pi/180), (6,80(pi/180)), etc\r<BR>\n" );
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document.write( "I traying to use this polar cordination to solve all the problems, but i'am lost I want to learn Trigo. I need hlep.<BR>\n" );
document.write( "It's pretty tough to learn trigonometry by yourself.  Get a good instructor.<BR>\n" );
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document.write( "The polar cordination<BR>\n" );
document.write( "http://www.analyzemath.com/polarcoordinates/polarcoordinates.html\r<BR>\n" );
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document.write( "cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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