Question

cos^4x+ sin^2x≡sin^4x cos^2x prove the identity

Answer 1

$\mathfrak{friend \: here \: is \: your \: answer} \\ {cos}^{4} x + {sin}^{2} x = {sin}^{4} x. {cos}^{2} x \\ cos {}^{2} x.cos {}^{2} x + sin {}^{2} x \\( 1 - {sin}^{2} x)(1 - sin {}^{2} x) + ( {sin}^{2} x) \\( 1 - {sin}^{2} x) {}^{2} + {sin}^{2} x \\ 1 + {sin}^{4} x - 2 {sin}^{2} x$

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