Find the result of the composition of two reflections across lines L1:y=0L_1: y=0L1:y=0 and L2:y=xtan(30∘)L_2: y = x \tan(30^\circ)L2:y=xtan(30∘).
Rotation of 30∘30^\circ30∘ CCW
Rotation of 60∘60^\circ60∘ CCW
Reflection across y=xtan(15∘)y = x \tan(15^\circ)y=xtan(15∘)
Translation by ⟨1,3⟩\langle 1, \sqrt{3} \rangle⟨1,3⟩