(cosecA-sinA) (secA-cosA) =1/tanA+cotA
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Step-by-step explanation:
(cosecA-sinA) (secA-cosA) = (1 - sin²A)(1 - cos²A)/sinAcosA
= cos²Asin²A/sinAcosA
= sinAcosA ...............................................1
1/tanA+cotA = 1/(sinA/cosA+cosA/sinA).
= sinAcosA / (sin²A+cos²A)
= sinAcosA .........................................................................2
eqn1 = eqn2
Hence proved
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