Mapping Rectangles by the Elementary Transcendental Functions

function

exp

sin

cos

The locators on the left determine a rectangle in the complex plane; the image of the rectangle under the selected function is shown on the right. The locators snap to the grid, allowing easy selection of natural domains for these functions. Appropriate branches of the

log

,

arcsin

, and

arccos

map a range on the right to the corresponding domain on the left.