Trig Identities! Help Please!

I got several of these for homework. Several is >50....even after staying up laaaate last night I still cannot complete these 6. In all of them I have tried the breakdown into cosine and sine and work far into them. I think my problem is once I start working and I simplify certain things I become too commited to finishing what I already have done and don't want to scrap it and start over. I have tried for hours on these. I just can't get them out....please help.

(cosecA-cotA)^2= 1-cosA/1+cosA

(sinA+cosA)^2/(sinAcosA)= 2 + sexA coseA

(sinA-cosA)(TanA+cotA)= secA- cosecA

cotA-tanA/cotA+tanA= cos^2A-sin2^A

(sinA-cosA)(TanA+cotA)=secA-cosecA

(cotA-tanA)sinA=2cosA-secA