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