Question

$2sqrt{6}$ sin8п/3cos25п/4 помогите пожалуйста умоляю

Answer 1

sin(8π/3)=sin(2π + 2π/3)=sin(2π/3)=sin(π/3)=√3/2
cos(25π/4)=cos (6π+π/4)=cos(π/4)=√2/2
$2 sqrt{6}sin ( frac{8 pi }{3})cos ( frac{25 pi }{4} )= 2 sqrt{6}* frac{ sqrt{3} }{2} * frac{ sqrt{2} }{2} = frac{ 2sqrt{6*3*2} }{2*2} = frac{ sqrt{6^2} }{2} = frac{6}{2} =3$