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Proof of trig double angle formula tan ( 2A )

B.Sudhakar

31/12/2016 4 0

Now tan ( A + B ) = tan A + tan B/1— tan A tan B

Put B = A

= tan ( A + A ) = tan ( 2A )= tan A + tan A / 1 — tan A tan A

= 2 tan A / 1 — tan² A

∴ tan (2A)= 2 tan A / (1 — tan² A)

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