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If x lie in interval 0 to pi and cosx+sinx=0.5 then find the value of tanx If x lie in interval 0 to pi and cosx+sinx=0.5 then find the value of tanx
soln:cosx+sinx= 1/2square both sides..(cosx+sinx)^2 = 1/41+ 2*sinx*cosx = 1/4sin 2x = -3/42 tan x/(1+tan2x) = -3/4-8 tan x = 3(1+tan2x)3 tan2x + 8 tan x + 3 = 0solving thistan x = {-8 + 2(7)1/2}/ 6 & {-8 - 2(7)1/2}/ 6Thanks and Regards,Ajay verma,askIITians faculty,IIT HYDERABAD
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