= 4 cos(45) cot(60) tan(60) - 3 sin(45)

First, we need to find the values of cos(45), cot(60), tan(60), and sin(45):
cos(45) = √2/2
cot(60) = 1/tan(60) = 1/√3
tan(60) = √3
sin(45) = √2/2

Now, we substitute these values into the equation:
= 4 (√2/2) (1/√3) (√3) - 3 (√2/2)
= 4 √2/2 - 3 √2/2
= 2√2 - 3√2
= -√2

Therefore, 4cos(45)ctg(60)tg(60) - 3sin(45) = -√2.