Hyperbolic Functions flashcards
10 practice cards drawn from the Hyperbolic Functions lessons. Tap a card to turn it over. Every answer is checked against the lesson it came from.
Read the Hyperbolic Functions lessons in full →
Which of the three is never negative?
cosh x
from “sinh, cosh and tanh”
What is cosh 0?
1
from “sinh, cosh and tanh”
. What is ?
from “The Identity cosh²x − sinh²x = 1”
The point (cosh t, sinh t) lies on which curve?
the hyperbola
from “The Identity cosh²x − sinh²x = 1”
What is the integral of cosh x?
sinh x + c
from “Differentiating sinh x and cosh x”
What is of cosh x?
sinh x
from “Differentiating sinh x and cosh x”
Why must cosh have its domain cut before it can be inverted?
it takes each value twice
from “Inverse Hyperbolic Functions”
What inputs does arsinh x accept?
every real x
from “Inverse Hyperbolic Functions”
Write arsinh x as a logarithm.
from “Inverse Hyperbolics as Logarithms”
Multiplying through by produces
a quadratic in
from “Inverse Hyperbolics as Logarithms”