If A=45^∘, verify that: (i) sin 2 A=2 sin A cos A (ii) cos 2 A=2 cos ^2 A-1=1-2 sin ^2 A

If A=45^∘, verify that:
(i) sin 2 A=2 sin A cos A
(ii) cos 2 A=2 cos ^2 A-1=1-2 sin ^2 A

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