Name the quadrant in which the given conditions are satisfie

Name the quadrant in which the given conditions are satisfied: cos() < 0 , cot() > 0 a) I b) III c) II d) IV

Solution

cos(theta) is negative in 2nd and 3rd quadrants

cot(theta) is positive in 1st and 3rd quadrants

hence both the conditions are satisfied in 3rd quadrant.

right answer is (b)