Trig Chart.

sino= 0

sin 30 pi/6= 1/2

sin45 pi/4= square root of 2 over 2
sin60 pi/3= square root of 3 over 3
sin90 pi/2= 1

csc0= undefined
csc30 pi/6= 2
csc45 pi/4= square root of 2
csc60 pi/3= 2 square root of 3 over 3
csc90 pi/2= 1

cos0= 1
cos30 pi/6= square root of 3 over 2
cos45 pi/4= square root of 2 over 2
cos60 pi/3= 1/2
cos90 pi/2= 0

sec0= 1
sec30 pi/6= 2 square root of 3 over 3
sec45 pi/4= square root of 2
sec60 pi/3= 2
sec90 pi/2= undefined

tan0= 0
tan30 pi/6= squre root of 3 over 3
tan45 pi/4= 1
tan60 pi/3= square root of 3
tan90 pi/2= undefined

cot0= undefined
cot30 pi/6= square root of 3
cot45 pi/4= 1
cot60 pi/3= square root of 3 over 3
cot90 pi/2= 0

Important things to remember to derive the chart out:

-sin over cos equals tan
-rec. of sin is csc
-rec. of cos is sec
-cot is sin and cos