Pure Mathematics - Hyperbolic Functions Flashcards
(8 cards)
1
Q
How can the x and y co-ordinates of a hyperbolic graphs be represented
A
(cosh x, sinh x)W
2
Q
What is the equation of cosh x
A
1/2(eˣ+e⁻ˣ)
3
Q
What is the equation for sinh x
A
1/2(eˣ-e⁻ˣ)
4
Q
What is the equation for arcosh
A
ln(x + (x²-1)¹/²)
5
Q
What is the equation for arsinh
A
ln(x + (x²+1)¹/²)
6
Q
What is the identity for tanh
A
sinhx/coshx
7
Q
What is the equation for tanh
A
(e²ˣ-1)/(e²ˣ+1)
8
Q
What is the first Hyperbolic identities
A
cosh² x - sinh² x = 1
