cos2A+cos2A. cot2A = cot2A
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here is your answer:
cot2 A - cos2 A
= cos2 A/sin2 A - cos2 A
= (cos2 A - cos2 A sin2 A)/sin2 A
= cos2 A (1 - sin2 A)/sin2 A
= (cos2 A/ sin2 A) cos2 A 1 - sin2 A = cos2 A
= cot2 A cos2 A
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