Pure Mathematics - Hyperbolic Functions Flashcards

1
Q

What are the hyperbolic trigonometric functions

A

Parameterisations of hyperbolic graphs

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
2
Q

How can the x and y co-ordinates of a hyperbolic graphs be represented

A

(cosh x, sinh x)W

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
3
Q

What is the equation of cosh x

A

1/2(eˣ+e⁻ˣ)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
4
Q

What is the equation for sinh x

A

1/2(eˣ-e⁻ˣ)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
5
Q

What is the equation for arcosh

A

ln(x + (x²-1)¹/²)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
6
Q

What is the equation for arsinh

A

ln(x + (x²+1)¹/²)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
7
Q

What is the identity for tanh

A

sinhx/coshx

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
8
Q

What is the equation for tanh

A

(e²ˣ-1)/(e²ˣ+1)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly