Chapter 5 Hyperbolics Flashcards
1
Q
What is the formula for cosh x?
A
cosh x = (e^x + e^(-x)) / 2
2
Q
What does cosh x represent?
A
cosh x is the hyperbolic cosine function.
3
Q
What is the formula for arctanh x?
A
arctanh x = 1/2 ln((1 + x) / (1 - x))
4
Q
What is the formula for arcosh x?
A
arcosh x = ln(x + sqrt(x^2 - 1))
5
Q
What is the formula for arcsinh x?
A
arsinh x = ln(x + sqrt(x^2 + 1))
6
Q
What is the relationship between cosh x and sinh x?
A
2 cosh^2 x - sinh^2 x = 1
7
Q
What is the formula for sinh x?
A
sinh x = (e^x - e^(-x)) / 2
8
Q
What is the formula for tanh x?
A
tanh x = (e^x - e^(-x)) / (e^x + e^(-x))
