document.write( "Question 1005783: For the given value, determine the quadrant(s) in which the terminal side of the angle lies. tan theta = 3.73
\n" ); document.write( "I think it is quadrant I & III but i want to be reassured. \n" ); document.write( "
Algebra.Com's Answer #622014 by Theo(13342)\"\" \"About 
You can put this solution on YOUR website!
tangent is positive in quadrants 1 and 3 so you're correct.
\n" ); document.write( "it can't be 2 and 4 because tangent is negative in those quadrants.
\n" ); document.write( "the angle in the first quadrant is 74.99212478.
\n" ); document.write( "the equivalent angle in the third quadrant is 254.9921248
\n" ); document.write( "if you found the equivalent angle in the second and fourth quadrant, it would be:
\n" ); document.write( "second quadrant = 105.0078752
\n" ); document.write( "fourth quadrant = 285.0078752
\n" ); document.write( "if you used your calculator to find the tangent function of all 4 of these angles, you would find:
\n" ); document.write( "tan(74.99...) = 3.73
\n" ); document.write( "tan(105.00...) = =-3.73
\n" ); document.write( "tan(254.99...) = 3.73
\n" ); document.write( "tan(285.00...) = -3.73
\n" ); document.write( "if you graph tan(x), you will see that the intersection of that grpah and the line of y = 3.73 is at x = 74.99.. and 254.99...
\n" ); document.write( "the graph is shown below:
\n" ); document.write( "\"$$$\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );