document.write( "Question 650303: Hi,\r
\n" ); document.write( "\n" ); document.write( "I am just beginning Precalculus and am looking at two short statements of the same nature - the instructions ask me to tell whether the trigonometric function is positive, negative, 0, or undefined. I am confused about what qualifies a trigonometric function as any of these. I am looking at these two:\r
\n" ); document.write( "\n" ); document.write( "csc (2pi/3) and (sec450º)\r
\n" ); document.write( "\n" ); document.write( "I managed to get both undefined but I do not know how, and I doubt that is correct. If somebody could please explain to me how to tell what the nature of these problems are, I would really appreciate it!\r
\n" ); document.write( "\n" ); document.write( "-Alex
\n" ); document.write( "

Algebra.Com's Answer #407382 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
csc (2pi/3) and (sec450º)
\n" ); document.write( "Each circle contains 360º or 2π radians divided into 4 quadrants.
\n" ); document.write( "All you need to do is determine which quadrant the angle is in from which you can determine its sign as follows:
\n" ); document.write( "quadrant I:
\n" ); document.write( "all functions>0
\n" ); document.write( "..
\n" ); document.write( "quadrant II
\n" ); document.write( "sin and csc >0
\n" ); document.write( "cos and sec<0
\n" ); document.write( "tan and cot<0
\n" ); document.write( "..
\n" ); document.write( "quadrant III
\n" ); document.write( "sin and csc <0
\n" ); document.write( "cos and sec<0
\n" ); document.write( "tan and cot>0
\n" ); document.write( "..
\n" ); document.write( "quadrant IV
\n" ); document.write( "sin and csc <0
\n" ); document.write( "cos and sec>0
\n" ); document.write( "tan and cot<0
\n" ); document.write( "..
\n" ); document.write( "csc (2pi/3) is in quadrant II, therefore, its sign>0
\n" ); document.write( "sec450ºis going around the circle once and ending at 90º or π/2
\n" ); document.write( "sec 450º=1/cos450º=1/cos90º=1/0=undefined
\n" ); document.write( "hope this helps\r
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