(1+cotA+tanA)(sinA-cosA)
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Step-by-step explanation:
(1+cotA+tanA)(sinA-cosA)
=(sinAcosA+cos²A+sin²A/sinAcosA)(sinA-cosA)
={(sinA-cosA)(sin²A+cos²A+sinAcosA)/sinAcosA}
=sin³A-cos³A/sinAcosA
=sin²A/cosA-cos²A/sina
=tanAsecA-cotAcosecA
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