Answers:

Easy:
1)
1 = 1
2)
-sin u/cos u= -sin u/cos u

Medium:
1)
1 - 2sin² θ =  1 - 2sin² θ
2)
1 - tan² θ = 1 - tan² θ

Hard:
1)
1 = 1 
2)
tan θ = tan θ
   

Extra Hard:

1)
csc y= csc y
2)
1+cos x/sin x= 1+cos x/sin x

Links for Additional Help:

Works Cited:

Zook, Dianna L., Ron Larson, and Robert P. Hostetler. Study and Solutions Guide: Precalculus, Sixth Edition, Larson/Hostetler. Boston: Houghton Mifflin, 2004. Print.