The U.S. Mint's bicentennial commemorative quarter for Wyoming's features the state nickname (The Equality State), and the outline of a cowboy and bucking bronco (Wyoming officially adopted this emblem as a symbol of the state, and rodeo is also the state sport). Wyoming became the 44th state in 1890. Public domain image on Wikipedia.
The Equality or Cowboy State
The nickname for Wyoming is The Equality or Cowboy State (Wyoming's state motto also focuses on equality). Wyoming was the first state to grant women the right to vote in 1869 (more precisely, women were granted the right to vote so there would be enough voting citizens to meet the population requirement for statehood). This action lead to the nickname The Suffrage State and then later The Equality State.
A cowboy on a bucking horse was adopted officially as a symbol of the state, which led to some calling Wyoming The Cowboy State (the cowboy and bucking bronco emblem appears on Wyoming's state quarter.