√48 × ctg(5π/4)*sin7π/3 Найдите значение выражения

Question

√48 × ctg(5π/4)*sin7π/3
Найдите значение выражения

Answer 1

√48*ctg(5π/4)*sin(7π/3) = √48*ctg(π + π/4)*sin(2π + π/3) = √48*ctg(π/4)*sin(π/3) = √48*1*√3/2 = (√144)/2 = 12/2 = 6