oyedejioyewolemaxwel oyedejioyewolemaxwel

11-07-2022
Mathematics

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Prove that
cos^4∆ - sin^4∆ = 2cos^2∆ - 1

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Medunno13 Medunno13

11-07-2022

[tex]\cos^{4} x-\sin^{4} x\\\\=(\cos^{2} x+\sin^{2} x)(\cos^{2} x-\sin^{2} x)\\\\=\cos^{2} x-\sin^{2} x\\\\=\cos^{2} x-(1-\cos^{2} x)\\\\=2\cos^{2} x-1[/tex]

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