Calc11_1 HypFunc - A.P Calculus Hyperbolic Functions Greg...

Info icon This preview shows pages 1–7. Sign up to view the full content.

View Full Document Right Arrow Icon
Hyperbolic Functions A.P. Calculus: Greg Kelly, Hanford High School, Richland, Washington
Image of page 1

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

View Full Document Right Arrow Icon
Consider the following two functions: 2 2 x x x x e e e e y y - - - + = = These functions show up frequently enough that they have been given names.
Image of page 2
2 2 x x x x e e e e y y - - - + = = The behavior of these functions shows such remarkable parallels to trig functions, that they have been given similar names.
Image of page 3

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

View Full Document Right Arrow Icon
Hyperbolic Sine: ( 29 sinh 2 x x e e x - - = (pronounced “cinch x”) Hyperbolic Cosine: (pronounced “kosh x”) ( 29 cosh 2 x x e e x - + =
Image of page 4
Hyperbolic Tangent: ( 29 ( 29 ( 29 sinh tanh cosh x x x x x e e x x e e - - - = = + “tansh (x)” Hyperbolic Cotangent: ( 29 ( 29 ( 29 cosh coth sinh x x x x x e e x x e e - - + = = - “cotansh (x)” Hyperbolic Secant: ( 29 ( 29 1 2 sech cosh x x x x e e - = = + “sech (x)” Hyperbolic Cosecant: ( 29 ( 29 1 2 csch sinh x x x x e e - = = - “cosech (x)”
Image of page 5

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

View Full Document Right Arrow Icon
First, an easy one: Now, if we have “trig-like” functions, it follows that we will have “trig-like” identities.
Image of page 6
Image of page 7
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