Prove the following identity:
tan2 A - sin2 A = sin2 A tan2 A
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(cosec A + sin A)(cosec A - sin A) = cot2 A + cos2 A
(sec A + cos A)(sec A - cos A) = sin2 A + tan2 A
cot2 A - cos2 A = cos2 A cot2 A
sec2 A + cosec2 A = sec2 A cosec2 A