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if cosA=2/5,find the valueof 4+4tan2A\xa0

Answer» Given that Cos A = 2/5, it means that base = 2 units and Hypotenuse = 5 units. Using Pythagorus therem perpendicular = √ hypotenuse2- base\xa02\xa0= √ 52\xa0-22\xa0= √25-4 = √21Tan A = Perpendicular / base = √21/2. Tan 2 A = 2 x√21/2 = √214+4 Tan 2A = 4+4*√21 = 4(1+√21)


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