I need help proving a few trigonometric identities.
[tex]tanA = tanA * cscA^{2} + cot(-A)[/tex]

[tex]csc^{2} \beta -csc^{2} \beta *sec^{2} \beta = -sec^{2} \beta[/tex]

[tex]cscx+cotx=\frac{sinx}{1-cosx}[/tex]

[tex](secx+tanx)^{2} = \frac{cscx+1}{cscx-1}[/tex]