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The following steps show how the right side of 1 + sin(2x) = [sin(x) + cos(x)]2 can be rewritten to show it is an identity. [sin(x) + cos(x)]2 = sin2(x) + 2sin(x)cos(x) + cos2(x) = 1 + 2sin(x)cos(x) = 1 + sin(2x) what are the correct justifications, listed in proper order? distributive property, pythagorean identity, double angle identity pythagorean identity, distributive property, double angle identity distributive property, double angle identity, pythagorean identity double angle identity, distributive property, pythagorean identity.

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