Given the function f (x) = / SiNx /, (1) if G (x) = ax-f (x) > = 0 is constant for any x ∈ [0, + infinity), find the value range of real number a 2) If the image of the function f (x) = | SiNx | and the line y = KX (k > 0) have and only have three common points, and the maximum abscissa of the common point is α, it is proved that cos α / (sin α + SIN3 α) = (1 + α 2) / 4 α

Given the function f (x) = / SiNx /, (1) if G (x) = ax-f (x) > = 0 is constant for any x ∈ [0, + infinity), find the value range of real number a 2) If the image of the function f (x) = | SiNx | and the line y = KX (k > 0) have and only have three common points, and the maximum abscissa of the common point is α, it is proved that cos α / (sin α + SIN3 α) = (1 + α 2) / 4 α

(1) When G (0) = 0, when x > 0, G (x) > = 0
a> = | SiNx / X |, denoted as H (x), |,
h(x)={sinx/x,2kπ