secant=1/cos =denominator/numerator
cotangent= 1/tan= denominator/numerator
or
co secant= 1/sin= hyp/opp
secant=1/cos= hyp/adj
cotangent= 1/tan= hyp/opp
The way I understand it you reverse the positions of the numerator and denominator. It is a different way to right the same ratio.