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Step-by-step explanation:
cos^4A - cos²A
= (cos²A)² - cos²A
= cos²A(cos²A-1)
= we know that sin²A+cos²A=1
= cos²A * (-sin²A)
= (1-sin²A) *(-sin²A)
= -sin²A + sin^4A
= sin^4A - sin²A
= prove.....
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