y = x - tan x
y' = 1 - sec^2x
At pi/3 the slope is 1 - sec^2 (pi/3) = 1 - (2)^2 = 1 - 4 = -3
And...at pi/3, y = pi/3 - tan (pi/3) = pi/3 - √3
So....the equation of the tangent line at (pi/3, pi/3 - √3 ) is
y = -3 (x - pi/3) + pi/3 - √3 simplify
y = -3x + pi + pi/3 - √3
y = -3x + (4/3)pi - √3
Here's the graph, Julius : https://www.desmos.com/calculator/aheivaxqtb