Prove each of these identities. a. cos 2 x sin 2 x 2 cos 2

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Prove each of these identities.
a. cos2 x − sin2 x ≡ 2 cos2x − 1 

b. cos2x − sin2x ≡ 1 − 2 sin2x

c. tan2x − sin2x ≡ tan2 x sin2

d. cos4x + sin2x ≡ sin4 x + cos2x

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