buktikan cos^4A-sin^4A=cos^2A-sin^2A
Matematika
rinafitriana21
Pertanyaan
buktikan cos^4A-sin^4A=cos^2A-sin^2A
1 Jawaban
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1. Jawaban Anonyme
cos^4(A) - sin^4(A)
= (cos²A)² - (sin²A)²
= (cos²A - sin²A)(cos²A + sin²A)
= (cos²A - sin²A)(1)
= cos²(A) - sin²(A)