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Dete4. |
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Answer» Tan(pi/4 + x) + tan(pi/4 - x) =(1+tan x)/(1-tan x)+ (1- tan x)/(1+tan x) =[(1+tan x)^2 +(1-tan x)^2]/[(1-tan^2 x] =2(1+tan^2 x)/(1-tan^2 x) =2(cos^2 x+sin^2 x)/(cos^2x-sin^2 x) =2/cos2x = 2sec2x |
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