What is cot((7pi/2)#?

1 Answer
Alan P.
Apr 24, 2015

cot((7pi)/2) = 0

Note that (7pi)/2 " is the same angle as " (3pi)/2

Based on a unit circle centered at the origin of the Cartesian plane an angle, theta, may be specified by a point (x,y) on the circle.
In which case:
cot(theta) = x/y

As can be seen by the diagram below that implies
cot((7pi)/2) = 0/1 = 0
enter image source here

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