Math 41 Section 7.6

Math 41 Section 7.6 - Math 41 7.6 Graphs of Sine and Cosine...

Info icon This preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
Math 41 7.6 Graphs of Sine and Cosine Functions Properties of the Sine Function y = sin x 1. The domain is the set of all real numbers 2. The range consists of all real numbers from -1 to 1, inclusive. 3. The sine function is an odd function, as the symmetry of the graph with respect to the origin indicates. 4. The sine function is periodic, with period 2π. 5. The x-intercepts are …,-2π, -π, 0, π, 2π, 3π,…; the y-intercept is 0. 6. The maximum value is 1 and occurs at x = …, -3π/2, π/2, 5π/2, 9π/2,…; the minimum value is -1 and occurs at x = …,-π/2, 3π/2, 7π/2, 11π/2,…. Properties of the Cosine Function y = cos x 1. The domain is the set of all real numbers. 2. The range consists of all real numbers from -1 to 1, inclusive. 3. The cosine function is an even function, as the symmetry of the graph with respect to the y-axis indicates. 4. The cosine function is periodic, with period 2π. 5. The x-intercepts are x = …, -3π/2, -π/2, π/2, 3π/2, 5π/2,…; the y-intercept is 1. 6. The maximum value is 1 and occurs at x = …, -2π, 0, 2π, 4π, 6π,…; the minimum value
Image of page 1

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

View Full Document Right Arrow Icon
Image of page 2
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