sin(75)=sin(45+30)=sin(45)cos(30)+sin(30)cos(45)
=√2*√3/4+√2/4=[(3+1)2]/4=0.966(对应的边为较长的边)
sin(15)=sin(45-30)=sin(45)cos(30)+sin(30)cos(45)
=√2*√3/4-√2/4=[(√3-1)√2]/4=0.2589
所以当1000是较长的边时:
斜边=1000/sin(75)=1 035.276;
另一条直角边=√( 1 035.276^2-1000^2)=267.949
所以当1000是较段的边时:
斜边=1000/sin(15)=3 863.703;
另一条边=3 863.7033051563/sin75=3 732.051