Find the derivation of. (1-tan x/1+tan x)^1/2
asked Dec 15, 2016 in Trigonometry Answers by M.Safeer

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Let y=√((1-tan(x))/(1+tan(x))) = √((cos(x)-sin(x))/(cos(x)+sin(x))) = √((cos(x)-sin(x))^2/cos(2x)) (multiplying top and bottom by cos(x)-sin(x) and replacing cos^2(x)-sin^2(x) with cos(2x)).


Let u=cos(x)-sin(x); du/dx=-(sin(x)+cos(x)).

Let v=(cos(2x))^-1/2;




answered Dec 15, 2016 by Rod Top Rated User (429,080 points)

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