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I hope these identities will help you.
tanx= \frac{sinx}{cosx}
cotx= \frac{cosx}{sinx}
cscx= \frac{1}{sinx}

Just use those identities with your given questions and you're ready to go. :)

I'll give a few answers.
1. sinx, since  \frac{sinx}{cosx} cosx=sinx
2.  \frac{cosx}{sinx} cosx=cos^{2}x/sinx=\frac{1-sin^{2}x}{sinx}

If you're still having trouble, you can message me or post a comment in my profile.

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