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23-06-2020
Mathematics

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Verify the identity. Please explain step by step.

Verify the identity Please explain step by step class=

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MathPhys MathPhys

23-06-2020

Step-by-step explanation:

sin²α − sin⁴α

Factor out sin²α.

sin²α (1 − sin²α)

Use Pythagorean theorem.

(1 − cos²α) cos²α

Distribute.

cos²α − cos⁴α

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