Stage 31 · Complex Numbers

31.2.4 Argument: How Far the Arrow Has Turned

31.2 Drawing Complex Numbers on a Plane: the Complex Plane

Point 4 of 4

31.2.4 Argument: How Far the Arrow Has Turned

Core idea

Picture this: the angle the arrow makes with the positive real axis is its argument, and one full turn brings it back, so arguments differing by 2π point the same way

Module goal. Borrowing the coordinate plane from the last stage, we give every complex number its own "address," turning it from a symbol into a visible point and arrow
eastmath.com · 31.2 Drawing Complex Numbers on a Plane: the Complex Plane · 31.2.4 Argument: How Far the Arrow Has Turned