Sketching the arccot operate includes figuring out its fundamental form, key traits, and asymptotic conduct. 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 a number of 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, that means that arccot(-x) = -arccot(x). This symmetry implies that the graph is symmetric in regards to the origin.
