The expression given can be simplified as follows:
sin(π/4) = √2/2cos(π/4) = √2/2ctg(π/3) = tan(π/3) = √3
Therefore, the expression becomes:(√2/2) / (√2/2) * (1/√3) = 1/√3 = √3/3
So, Sin(π/4)cos(π/4)ctg(π/3) simplifies to √3/3.
The expression given can be simplified as follows:
sin(π/4) = √2/2
cos(π/4) = √2/2
ctg(π/3) = tan(π/3) = √3
Therefore, the expression becomes:
(√2/2) / (√2/2) * (1/√3) = 1/√3 = √3/3
So, Sin(π/4)cos(π/4)ctg(π/3) simplifies to √3/3.