4.8.1 The graph of the cotangent function

. . The graph of the cotangent function The cotangent function is continuous on the set \ ) { } . Let us first draw the graph of cotangent function in \ ) { } . In the first and third quadrants, the cotangent function takes only positive values and in the second and fourth quadrants, it takes only negative values. The cotangent function has no maximum value and no minimum value. The cotangent function falls from ¥ to for x ∈  , π ; falls from to −∞ for x ∈  π π , ; falls from ¥ to for x ∈  and falls from to −∞ for x ∈  O − y = y = −   sec [ , ] \ in O − − − − y = π y = π y = sec – x Inverse - - Fig. . Fig. . The graph of y = cot , x ∈ ( ) { } \ π is shown in Fig . . The same segment of the graph of cotangent for \ ) { } is repeated for \ ) { } , \ ) { }  , and for  , { } \ { } \ . The entire graph of cotangent function with domain \ : ∈ { } is shown in Fig. . .