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**very difficult complex no question plzzzz help**

Hi Guys!

well! im facing problems in the following question:

IF

[tex]\tan{x+iy} = \alpha + i\beta[/tex]

prove that

[tex]\alpha^2 + \beta^2 = \frac{\cosh{(h^2)(y)}-(\cos{x}^2)}{\cosh{(h^2)(y)}-(\sin{x}^2)}[/tex]

what im not getting here is this that you have to prove that

[tex]\alpha^2 + \beta^2[/tex]

how to transform this question to give [tex]\alpha^2 + \beta^2[/tex]

now i can make it like

[tex]\alpha^2 - \beta^2[/tex]

but because of that i , im unable to transform it into

[tex]\alpha^2 + \beta^2[/tex]

plz help me. I have just one day remaining in my exams.

PLZPZLPZLPZLZ

Yeah! if you are unable to read the above code im attaching an attachment as well.

Thanks and Good Bye