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-circlehttp://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.