I hope these identities will help you.
[tex]tanx= \frac{sinx}{cosx} [/tex]
[tex]cotx= \frac{cosx}{sinx} [/tex]
[tex]cscx= \frac{1}{sinx} [/tex]
[tex]sin^2x+cos^2x=1[/tex]
Just use those identities with your given questions and you're ready to go. :)
I'll give a few answers.
1. sinx, since [tex] \frac{sinx}{cosx} cosx=sinx[/tex]
2. [tex] \frac{cosx}{sinx} cosx=cos^{2}x/sinx=\frac{1-sin^{2}x}{sinx}[/tex]
If you're still having trouble, you can message me or post a comment in my profile.