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Verified answer
Identitascos⁴a -sin⁴ a /(1 - tan a) = cos⁴ a
(cos² a + sin²a)(cos² a - sin² a)/ (1 - (sin a /cos a)) =
(1)(cosa + sin a)(cos a -sin a) / (cos a - sin a )/ cos a
= cos a (cos a+sin a)(cos a - sin a)/ (cos a - sin a)
= cos a (cos a + sin a)
= cos² a + sin a cos a