If #Cot > theta#, #sin<theta# what quadrant does theta lie?

1 Answer
May 21, 2016

Answer:

3rd quadrant

Explanation:

By definition

#sintheta="Perpendicular (P)"/ "Hypotenuse(H)"#

#cottheta=" Base(B)"/ "Perpendicular(P)"#

#"Hypotenuse is always">0#

So #sintheta<0," " "when (P)" <0->"theta in 3rd or 4th quadrant" #

Again
#cot theta>0," " "When B and P both" > "or" <0->"theta in 1st or 3rd quadrant" #
In 1st quadrant B and P both >0
In 3rd quadrant B and P both <0

Hence the two given conditions will be satisfied if #theta # is in 3rd quadrant