第1713题:直线的极坐标方程
如图,直线 lll 过点 P(ρ1,θ1)P(\rho_1,\theta_1)P(ρ1,θ1) 且与极轴的夹角为 α\alphaα ,可利用正弦定理计算直线l的极坐标方程为( ).
A. ρsin(α−θ)=\rho \sin (\alpha-\theta)=ρsin(α−θ)= ρ1sin(α−θ1)\rho_1 \sin(\alpha -\theta_1)ρ1sin(α−θ1)
B. ρcos(α−θ)= \rho \cos (\alpha-\theta)=ρcos(α−θ)= ρ1sin(α−θ1)\rho_1 \sin(\alpha -\theta_1)ρ1sin(α−θ1)
C. ρsin(α−θ)=\rho \sin (\alpha-\theta)=ρsin(α−θ)= ρ1cos(α−θ1)\rho_1 \cos(\alpha -\theta_1)ρ1cos(α−θ1)
D. ρcos(α−θ)=\rho \cos (\alpha-\theta)=ρcos(α−θ)= ρ1cos(α−θ1)\rho_1 \cos(\alpha -\theta_1)ρ1cos(α−θ1)