Sketching the arccot operate entails figuring out its primary form, key traits, and asymptotic habits. The arccot operate, denoted as arccot(x), is the inverse operate of the cotangent operate. It represents the angle whose cotangent is x.
To sketch the graph, begin by plotting just a few key factors. The arccot operate has vertical asymptotes at x = /2, the place the cotangent operate has zeros. The graph approaches these asymptotes as x approaches . The arccot operate can also be an odd operate, which means that arccot(-x) = -arccot(x). This symmetry implies that the graph is symmetric concerning the origin.
