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1 (Edexcel, Further Pure Math, 2013 jan, Paper 2, No 2)
Using the identities sin(A+B)=sinAcosB+cosAsinBcos(A+B)=cosAcosBsinAsinBtanA=sinAcosA
(a) show that tan(A+B)=tanA+tanB1tanAtanB (3)
(b) Hence show that
(i) tan105=1+313
(ii) tan15=311+3 (4)

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