Simplify the given equation (1 + tan2 A)(1 + cot2 A)  =?

1
\(\rm \frac{1}{\cos ^2A(1+\sin^2A)}\)
2
\(\rm \frac{1}{\sin ^2A(1-\sin^2A)}\)
3
\(\rm \frac{1}{\sin ^2A+cosec^2A}\)
4
\(\rm \frac{1}{\sin ^2A(1+\cos^2A)}\)

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