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
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:
http://www.sosmath.com/trig/Trig5/trig5/trig5.html
http://www.capitan.k12.nm.us/teachers/shearerk/trig_identities.html
http://www.capitan.k12.nm.us/teachers/shearerk/trig_identities.html
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.