Вычислите tg п/3×cosп×sin 2п/3-cos п/3×sin п/6

Question

Вычислите tg п/3×cosп×sin 2п/3-cos п/3×sin п/6

Answer 1

tg(π/3)×cosπ×sin(2π/3) - cos(π/3)×sin(π/6)=

=√3 × (-1) × (√3/2) - 1/2 × 1/2 =-3/2 - 1/4=- 7/4