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04-11-2019
Mathematics

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Verify sin4 x- sin2x = cos4x – cos2x is an identity

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MathPhys MathPhys

04-11-2019

Step-by-step explanation:

sin⁴ x − sin² x

Factor:

(sin² x) (sin² x − 1)

Pythagorean identity:

(1 − cos² x) (-cos² x)

Distribute:

-cos² x + cos⁴ x

cos⁴ x − cos² x

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