secant math word problem

Question

Given  where ,  determine the related acute angle and all possible principal angles to the nearest degree. 

Answer 1

secT = -1.25 = -5/4 = 5/-4 = hypotenuse divided by adjacent side

cosT= 1/secT = -4/5, reference angle is about 36.87 degrees

T= cos^-1(-4/5) = about 180 +/- 36.87

T = Theta = 143.13 and 216.87 degrees