Trig Expressions and Identities.

Hey all if you could please help i would be so grateful!

1. Mulitply and simplify-

cosXsinX(secX-cscX)

I got 1 by turning it into 1 but Im not 100% sure.

2. Simplify expression-

(15tanXcscX-3cscX)/(9tanXcscX-3cscX)

3. Establish the Indentity

(1-sin2X)/(sinX-cscX)=-sinX

4. Establish the identity

cotX(cotX+tanX)=csc^2X

5. Establish the indentity

1- (cos^2X/1+sinX)=sinX

6. (sinX)/(1+cosX)+(1+cosX)/(sinX)= 2cscX

I've been working on this forever and cant seem to get these answers, any help is awesome! THANKS SO MUCH