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(1-sin^2 A) × tg^2 A
=cos^2 A × tg^2 A
= sin^2 A = 1 - cos^2 A

Note:

Cos^2 A + sin^2 A = 1
Sin^2 A/ cos^2 A = tg^2 A

[tex](1 - Sin^2A)Tan^2A\\= (Cos^2A)Tan^2A\\= (Cos^2A)( \frac{Sin^2A}{Cos^2A})\\= Sin^2A\\ = \boxed{\boxed{1 - cos^2A}}[/tex]

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