Question

prove that cos⁴A-cos²A=sin⁴A-sin²A.​

Answer 1

Answer:

Step-by-step explanation:

$cos^{4}A- cos^{2}A = sin^{4}A - sin^{2}A \\LHS=> cos^{2}A(cos^{2}A-1)\\ = (sin^{2}A - 1) sin^{2}A \\= sin^{4}A - sin^{2}A = RHS \\\\IDENTITY: cos^{2}A + sin^{2}A = 1$

Answer 2

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