A: Sin and Cos is kinda easy to figure out the opposite of sin is cos., you do the the same thing and just

sin0=0 - cos0=1
sin pi/6=1/2 - cos pi/6=square root of 3/2
sin pi/4=square root of 2/2 - cos pi/4=square root of 2/2
sin pi/3=square root of 3/2 - cos pi/3= 1/2
sin pi/2=1 - cos pi/2=0

B: Tanget and Cotanget are basically the same thing as sin and cos and just f..lip the tanget and then you get cotanget. Tangent is tan( theta) y/x and cotangent is cot( theta) x/y.

tan0=0 - cot0=undefined
tan pi/6= square root of 3/3 - cot pi/6= square root of 3
tan pi/4=1 cot pi/4=1
tan pi/3= square root of 3 - cot pi/3= square root of 3/3
tan pi/2=undefined - cot pi/2=0

C: Sine and cosecant relationship is cosecant is sine flipped.

sin0=0 - csc0=undefined
sin pi/6=1/2 - csc pi/6=2
sin pi/4=square root of 2/2 - csc pi/4=2
sin pi/3=square root of 3/2 - csc pi/3=2square root of 3/3
sin pi/2=1 - csc pi/2=1

D. Cosine and Secant are pretty similar to cosecant and sine, just take the reciprocals of Cosine and plug them into secant.

cos0=1 - sec0=1
cos pi/6= square root of 3/2 - sec pi/6=2square root of 3/2
cos pi/4=square root of 2/2 - sec pi/6=square root of 2
cos pi/3=1/2 - sec pi/3=2
cos pi/2=0 - sec pi/2=undefined

E:If you know Sine, then you will also know Cosine and Tangent, find Cosine by flipping the functions of Sine, find Tangent by dividing Sine and Cosine.

sin0=0 - cos0=1 - tan0=0
sin pi/6=1/2 - cos pi/6=square root of 3/2 - tan pi/6=square root of 3/3
sin pi/4=square root of 2/2 - cos pi/4=square root of 2/2 - tan pi/4=1
sin pi/3=square root of 3/2 - cos pi/3=1/2 - tan pi/3=square root of 3
sin pi/2=1 - cos pi/2= 0 - tan pi/2=undefined

derrick ralser