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What is the value Cos 2 A(3-4Cos 2 A) 2 +Sin 2 A(3-4Sin 2 A) 2
When expanding 9 cos²A + 16 cos6A -24 cos⁴A + 9 sin²A + 16 sin6A -24 sin⁴A= 9 + 16 (sin^6 A + cos^6 A) -24 ( sin⁴A + cos⁴A)= 9 + 16 (sin²A + cos²A) (sin⁴A + cos⁴A - sin²A cos²A) -24(sin⁴A + cos⁴A)= 9 -8(sin⁴A + cos⁴A + 2sin²A cos²A)= 9 - 8(sin²A + cos²A)²= 9 - 8*(1)²= 9-8= 1
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