r = sin2θ,0 <=θ <= π/2,
的畫法:
(1)註意極軸當θ = 0 時就是x軸,取點 (θ, r) = (0, 0);
(2)當 θ 角從 0 加大時至θ = π/4時, r = sin2θ 也逐漸增加,最大 r = 1,取點 (θ, r) = (π/4, 1);然後,當 θ 角從θ = π/4繼續加大至θ = π/2時 r = sin2θ 則逐漸減小,最小 r = 0,取點 (θ, r) = (π/2, 0)。
(3)在0 <= θ <= π/2 中間多畫幾條各個 θ 角的極軸,按(2)分析的增加、減小的情況在極軸上取點 (θ, r),光滑的連線就是所求曲線。