How do you sketch the angle #4# in standard position?

1 Answer
Jim H
Aug 4, 2017

The terminal side is in the third quadrant.

Explanation:

#pi ~~ 3.14# so the terminal side of#4# is past the negative #x#-axis.

#(3pi)/2 = 3/2 * pi ~~ 3/2 * 3 = 4.5# so the terminal side of #4# is not in the fourth quadrant.

If you want to be a little more precise, note that the #pi/4# angle in Quadrant 3 is #(5pi)/4 ~~ 15/4 = 3.75#, so the terminal side of #4# is between those of #(5pi)/4# and #(3pi)/2#

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