Equation of the tangent line:
y-y0 = f´(x0)(x-x0)
x0 = π/6, y0= 2 sin(π/6)= 1
f´(X)=2 cos x
y - 1 = 2 cos(π/6)(x- π/6)
y - 1 = [tex]2 * \frac{ \sqrt{3} }{2} ( x - \frac{ \pi }{6} )[/tex]
y = [tex] \sqrt{3} (x - \frac{ \pi }{6} )+ 1 \\ y= \sqrt{3} x + \frac{1- \sqrt{3} \pi }{6} [/tex]
