It was cluey for you to notice that Chris.
Complementary angles are angles that add up to 90.
Complementary trig ratios are ones where the values are equal for complementary angles.
I am probably not wording that very well.
Cosine stands for complementary ratio of sine (at least that is how I think of it)
Cosine(theta)=sine(90-theta)
Cotangent stands for complementary ratio of tan
Cot(theta)=tan(90-theta)
Cosec stands for complementary ratio of sec
cosec(theta)=sec(90-theta)
If you remember this it can help a lot. 