2_7notes - Math 114 Section 2.7 Graphs of Tangent Cotangent...

Info icon This preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
Math 114 Section 2.7 Graphs of Tangent, Section 001 Cotangent, Secant and Cosecant Functions A. Basic Tangent and Cotangent Graphs Recall that both the tangent and cotangent functions are periodic; that is, every input value that is π radians apart, has the same output value. When we begin to look at the graph of tangent, we only need to focus on - 2 , 2 π π . The rest of the graph will consist of repetitions of this portion of the graph. Graph of . tan x y = Properties of the Tangent Function 1. The domain is ( 29 - , except k π π + 2 where k is an integer. 2. The range is ( 29 - , . 3. The tangent function is an odd function (symmetric about the origin). 4. The tangent function has period π. 5. The x-intercepts are … - π, 0, π. …. 6. Vertical asymptotes occur at … 2 3 , 2 , 2 π π π - …. When we begin to look at the graph of cotangent, we only need to focus on ( 29 π , 0 . The rest of the graph will consist of repetitions of this portion of the graph.
Image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Graph of . cot x y =
Image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern