Range of f(x)=tan(π[x2−x])1+sin(cosx) is where [x] denotes the greatest integer function
(−∞,∞)∼[0,tan1]
(−∞,∞)∼[tan2,0)
[tan2,tan1]
{0}
f(x)=tan(π[x2−x])1+sin(cosx)={0}because of [x2−x] is integer.