What quadrant does #cot 325^@# lie in and what is the sign?

1 Answer
Dec 8, 2014

You can answer which quadrant by referring to a unit circle. Quadrant I runs from #0^o# to #90^o#, quadrant II from #90^o# to #180^o#, quadrant III from #180^o# to #270^o# and quadrant IV from #270^o# to #360^o#.

http://www.wyzant.com/resources/lessons/math/trigonometry/unit-circle

The angle given in the problem is #325^o# which lies between #270^o# and #360^o# which puts it in quadrant IV.

As for the sign, cosine is equivalent to the #x# position and sine is equivalent to the #y# position. Since quadrant IV is to the right of the #y#-axis, in other words, a positive #x# value, #cos(325^o)# will be positive.