MATH
2_6notes

# 2_6notes - Math 114 Section 2.6 Graphs of Sine Cosine...

• Notes
• 6

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

Math 114 Section 2.6 Graphs of Sine & Cosine Functions Section 001 A. Basic Sine and Cosine Graph Recall that both the sine and cosine functions are periodic; that is, every input value that is 2π radians apart, has the same output value. When we begin to look at the graph of sine or cosine, we only need to focus on [0,2π]. The rest of the graph will consist of repetitions of this portion of the graph. Graph of . sin x y = Properties of the Sine Function: 1. The domain is ). , ( -∞ 2. The range is [-1,1]. 3. The sine function is odd (symmetric about the origin). 4. The sine function has a period of 2π. Graph of . cos x y =

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

Properties of the Cosine Function: 1. The domain is ). , ( -∞ 2. The range is [-1,1]. 3. The cosine function is even (symmetric about the y-axis). 4. The cosine function has a period of 2π. B. Translations of the sine and cosine graphs. B x A y + - = ) sin( ϕ ϖ B x A y + - = ) cos( ϕ ϖ A tells us the amplitude, which is half the distance from the maximum value to the minimum value.
This is the end of the preview. Sign up to access the rest of the document.
• Spring '08
• smith
• Math, Periodic function, Inverse function, Leonhard Euler, Cosine Graph Recall

{[ snackBarMessage ]}

### What students are saying

• 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.

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

• 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.

Dana University of Pennsylvania ‘17, Course Hero Intern

• 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.

Jill Tulane University ‘16, Course Hero Intern