Graphs of the Other Trigonometric Functions Section 4.6

Objectives Determine the period and phase shift of the graph of a tangent, cotangent, secant, or cosecant function given an equation. Match a graph to its equation. Determine the domain, range, asymptotes, period and phase shift of the graph of a tangent, cotangent, secant, or cosecant function given a graph. Draw the graphs of a tangent, cotangent, secant, or cosecant function. Determine if the sine, cosine, tangent, cotangent, secant, or cosecant functions are even, odd, or neither.

General Function

Graph the function tan(x) on the interval [―2π, 2π] What is the period? What is the phase shift? What is the domain? What is the range? Are there any asymptotes? If yes, what are they? Is the function even, odd or neither?

Graph the function cot(x) on the interval [―2π, 2π] What is the period? What is the phase shift? What is the domain? What is the range? Are there any asymptotes? If yes, what are they? Is the function even, odd or neither?

General Function

Graph the function sec(x) on the interval [―2π, 2π] What is the period? What is the phase shift? What is the domain? What is the range? Are there any asymptotes? If yes, what are they? Is the function even, odd or neither?

Graph the function csc(x) on the interval [―2π, 2π] What is the period? What is the phase shift? What is the domain? What is the range? Are there any asymptotes? If yes, what are they? Is the function even, odd or neither?

Graph