Question

If 270 degree < A < 360 degree and cosA =
24/25
then cot A =
​

Answer 1

Answer:

cos A =24/25. secA=25/24

1+tan^2A = sec^A = (25/24)^2

tan^2A = (25/24)^2 - 1 = (25^2 - 24^2)/24^2

cot^2A = 1/tan^2A = 24^2/(49)

cotA = +24/7 or -24/7

you want value in 4th quadrant where cot is negative. Hence ans is -24/7