Question

Помогите решить:
sin150 + sin165 =

Answer 1

sin150=sin(π-30)=sin30=1/2
sin165=sin(π-15)=sin15=sin(45-30)=sin45*cos30-cos45*sin30=√2/2*√3/2-√2/2*1/2=
sin150+sin165=1/2+√2/2*√3/2-√2/2*1/2=(1+√6-√2)/2