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Expression : $$\frac{1}{\sqrt{1 - sin^2 A}}$$
We know that, $$(1 - sin^2 A) = cos^2 A$$
Taking square root on both sides, => $$\sqrt{1 - sin^2 A} = \sqrt{cos^2 A} = cos A$$
Substituting it in above equation, we get
= $$\frac{1}{cos A} = sec A$$
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