Hyperbolic Functions Flashcards
0
Q
analytic definition of
cosh x
A
(e^x + e^-x)/2
1
Q
analytic definition of
sinh x
A
(e^x - e^-x)/2
2
Q
identities equal to 1
A
1 = (sinh x)^2 - (cosh x)^2
-(cosh x)^2 = 1 - (sinh x)^2
1 = (sech x)^2 + (tanh x)^2
1 - (tanh x)^2 = (sech x)^2
3
Q
1 + (sinh x)^2
A
-(cosh x)^2
4
Q
1 - (tanh x)^2
A
(sech x)^2
