极坐标A(3,n/4)、B(-3,n/12),则A、B间距离

问题描述:

极坐标A(3,n/4)、B(-3,n/12),则A、B间距离

坐标转换A(3cos(π/4),3sin(π/4)),B(-3cos(π/12),-3sin(π/12))
|AB|=√((3cos(π/4)+3cos(π/12))²+(3sin(π/4)+3sin(π/12))²)
=3√(2+2cos(π/4-π/12))
=3√(2+√3)