If tan 1 x = and tan 1 y = , show that Deduce that where

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If tan–1x = α and tan–1y = β, show that

tan(a + B)= = x + y 1- xy

Deduce that

tan x + tany = tan x + y 1- xy + k

where k = –1, 0, 1 depending on the values of x and y.

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