Question

how can we find out in which quadrant theta lies?

Answer 1

theta lies in 2nd or 3rd quadrant because cos is negative in 2nd and 3rd quadrant.

•in 1st quadrant all ratios are +ve.
•in 2nd quadrant sine and cosec are +ve.
•in 3rd quadrant tan and cot are +ve.
•in 4th quadrant cos and sec are +ve.