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Answer»

LHS=tan2A−tan2B=cos2sin2A−cos2Bsin2B

LHS=tan2A−tan2B=cos2sin2A−cos2Bsin2B=cos2Acos2Bsin2Acos2B−cos2Asin2B=cos2Acos2B(1−COS2A)cos2A(1−cos2B)

LHS=tan2A−tan2B=cos2sin2A−cos2Bsin2B=cos2Acos2Bsin2Acos2B−cos2Asin2B=cos2Acos2B(1−cos2A)cos2A(1−cos2B)=cos2Acos2Bcos2B−cos2Acos2B−cos2A+cos2Acos2B=cos2Acos2Bcos2B−cos2A

LHS=tan2A−tan2B=cos2sin2A−cos2Bsin2B=cos2Acos2Bsin2Acos2B−cos2Asin2B=cos2Acos2B(1−cos2A)cos2A(1−cos2B)=cos2Acos2Bcos2B−cos2Acos2B−cos2A+cos2Acos2B=cos2Acos2Bcos2B−cos2AAlso 

LHS=tan2A−tan2B=cos2sin2A−cos2Bsin2B=cos2Acos2Bsin2Acos2B−cos2Asin2B=cos2Acos2B(1−cos2A)cos2A(1−cos2B)=cos2Acos2Bcos2B−cos2Acos2B−cos2A+cos2Acos2B=cos2Acos2Bcos2B−cos2AAlso COS



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