Feuille ParCœur no 3 `a compléter ch2 x − sh2 x = th x = coth x = 1

Feuille ParCœur no 3 `a compléter ch2 x − sh2 x = th x = coth x = 1

o
Feuille ParCœur n 3 à compléter
ch2 x − sh2 x =
ex =
e−x =
th x =
ch x =
sh x =
ch(−x) =
th x =
coth x =
sh(−x) =
ch(x + y) =
ch(x − y) =
sh(x + y)=
sh(x − y)=
chx chy =
shx sh y =
shx chy =
1 − th2 x =
coth x =
ch ix =
sin ix =
tan ix =
sh ix =
th ix =
th(−x) =
coth(−x) =
coth(x + y) =
coth(x − y) =
chx + chy =
chx −chy =
sh x +sh y =
sh x −sh y =
sh 2x =
ch 2x =
th 2x =
sh 3x =
ch 3x =
th 3x =
ch2n x =
ch
x=
sh2n x=
sh
x=
2n+1
2n+1
Z
dérivée f 0 (x)
sh x
f (x)
primitive
Z
x
f (t) dt
sh x
ch x
th x
∞
X
n=0
ch x =
∞
X
n=0
primitive
x
f (t) dt
ch x
1
ch x
1
sh x
coth x
f (x)
coth x
th x
sh x =
cos ix =
th(x + y) =
th(x − y) =
sh 2x =
ch 2x =
=
=
f (x)
coth2 x − 1 =
th x =
0
ou
+O(x9 )