Question

三角形ABC中,AB所对边长分别为a、b,且a＝根号6,b＝2,角A＝60度角B＝45度

Answer 1

z=√6+i2*sin45°=√6+i√2=2√2(√3/2+i/2)=2√2(cosπ/6+isinπ/6)

∴z^4=(2√2)^4*[cos(π/6*4)+isin（π/6*4)]=64(cos2π/3+isin2π/3)=64(-1/2+i√3/2)=-32+i32√3