Answer:
a) 2nd and 3rd quadrant
b) 143.13° and 36.87°
Step-by-step explanation:
Secant A = 1/cosecant A
sec A = 1/cosA
If Sec A = -5/4
Cos A = 1/(-5/4)
CosA = -4/5
Since cos A is a negative values, hence the angle A will be in the 2nd and 3rd quadrant
b) If CosA = -4/5
A = arccos(-0.8)
A = 143.13
A = 180 - 143.13
A = 36.87
Hence the measures of angle A are 143.13° and 36.87°
