Hyperbolic Functions Flashcards
1
Q
What is the definition of sinh (x)?
A
(e^x - e^-x) / 2
2
Q
What is the definition of cosh (x)?
A
(e^x + e^-x) / 2
3
Q
What is the definition of tanh (x)?
A
(sinhx)/(coshx); (e^2x - 1) / (e^2x +1)
4
Q
What does sinh (-x) equal?
A
-sihn(x)
5
Q
What does cosh -x equal?
A
cosh (x)
6
Q
What identity relates cosh^2 and sinh^2?
A
cosh^2 (x) - sinh^2 (x) = 1
7
Q
What is sinh(A+B)?
A
sinhA coshB +- coshA sinhB
8
Q
What is cosh(A+B)?
A
coshAcoshB +- sinhAsinhB
9
Q
What is the integral of tanh (x)?
A
ln cosh(x) + c
