TanA.Tan(60+A).Tan(60-A)=Tan3A
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Step-by-step explanation:
tanA[tan60+tanA/1-tan60tanA] [tan60-tanA/1+tan60tanA]
=tanA[tan²60-tan²A/1-tan²60tan²A]
=tanA[3-tan²A/1-3tan²A]
=3tanA-tan³A/1-3tan²A
=tan3A [tan3A=3tanA-tan³A/1-3tan²A]
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