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Proof of \(\cos 2A={{\cos }^{2}}A-{{\sin }^{2}}A=2{{\cos }^{2}}-1=1-2{{\sin }^{2}}A\)

Proof of \(\cos 2A={{\cos }^{2}}A-{{\sin }^{2}}A=2{{\cos }^{2}}-1=1-2{{\sin }^{2}}A\)

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