Prove the following identities :
(cosec A - sin A)(sec A - cos A)(tan A + cot A) = 1
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(cosec A + sin A)(cosec A - sin A) = cot2 A + cos2 A
(cos A + sin A)2 + (cos A - sin A)2 = 2
(sin A + cosec A)2 + (cos A + sec A)2 = 7 + tan2 A + cot2 A