Hyperbolic Functions

Question 1

sinhx =

Answer 1

1/2 (e^x - e^-x)

Question 2

coshx =

Answer 2

1/2 (e^x + e^-x)

Question 3

tanhx =

Answer 3

(e^x - e^-x)/(e^x + e^-x) or (e^2x - 1)/(e^2x + 1)

Question 4

arsinhx =

Answer 4

ln(x +root(x^2 + 1))

Question 5

arcoshx =

Answer 5

ln(x +- root(x^2 - 1)

Question 6

artanhx =

Answer 6

1/2 ln(1+x / 1-x)

Question 7

Osborns rule

Answer 7

Same trigonometric identities for hyperbolics but sin^2 or implied sin^2 negated to replace with shin