This self checking worksheet has students finding functions of inverse functions: sin(arctan 1/2). I had my students complete this using right triangles and quadrants I, II and IV. Positive and negative signs need to be observed. The student will solve a problem, then find the solution on a building in the city of Trigopolis, USA. The student will color the building according to the color listed on the problem. Some of my students were not into the coloring, so they just used the diagram to check their solution and cross it off as they worked through the worksheet. The students will need 7 different colors if they are to color the city of Trigopolis, USA.