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" Prove it ":tan^(-1)((1)/(sqrt(3))tan x...

" Prove it ":tan^(-1)((1)/(sqrt(3))tan x)=(1)/(2)cos^(-1)(1+2cos2x)/(2+cos2x)

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tan^(-1)((1)/(sqrt(3))(tan x)/(2))=(1)/(2)cos^(-1)((1+2cos x)/(2+cos x))

show that, tan^(-1) ((1)/(sqrt(3)) tan ""(x)/(2))=(1)/(2) cos^(-1) ""((1+2 cos x)/(2+ cos x)).

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