1. Hyperbolic Function (Example1 and 2)
HYPERBOLIC FUNCTIONS
Syllabus
3.11
Hyperbolic Function (Example1 and 2)

2. HYPERBOLIC FUNCTIONS Stan Wagon riding his tricycle with square wheels
(a mathematician at Macalester College in St. Paul)

3. Definitions and Identities
HYPERBOLIC FUNCTIONS
Definitions
and
Identities

4. HYPERBOLIC FUNCTIONS We pronounce hyperbolic cosine “kosh x”
hyperbolic sine
“cinch x”
Example:
Find

5. HYPERBOLIC FUNCTIONS

6. HYPERBOLIC FUNCTIONS

7. HYPERBOLIC FUNCTIONS
093E2

8. HYPERBOLIC FUNCTIONS
093E2

9. HYPERBOLIC FUNCTIONS
F092

10. HYPERBOLIC FUNCTIONS

11. HYPERBOLIC FUNCTIONS

12. HYPERBOLIC FUNCTIONS

13. HYPERBOLIC FUNCTIONS

14. HYPERBOLIC FUNCTIONS

15. In simple suspension bridges such as the Capilano Suspension Bridge, where the weight runs parallel to the cables, the cables follow a catenary curve.

16. Derivatives of Hyperbolic Functions

17. HYPERBOLIC FUNCTIONS

18. HYPERBOLIC FUNCTIONS
F083

19. HYPERBOLIC FUNCTIONS

20. HYPERBOLIC FUNCTIONS
F092

22. HYPERBOLIC FUNCTIONS
F093

23. HYPERBOLIC FUNCTIONS
F093

24. HYPERBOLIC FUNCTIONS
F091