Formule Flashcards
(35 cards)
tan(2a)
2 tan a/1 − tan2 a
cos a cos b
1/2(cos(a − b) + cos(a + b))
sin a sin b
1/2(cos(a − b) − cos(a + b))
sin a cos b
1/2(sin(a + b) + sin(a − b))
cos p + cos q
2 cos(p + q/2)cos(p − q/2)
cos p - cos q
-2 sin(p + q/2)sin(p − q/2)
sin p + sin q
2 sin(p + q/2)cos(p − q/2)
sin p - sin q
2 cos(p + q/2)sin(p − q/2)
[arcsin(u)]′
u′/√(1 − u^2)
arccos′(u)
-u’/√(1 − u^2)
[arctan(u)]′
u’/(1 + u^2)
sin (arccos x)
√(1 − x^2)
cos(arcsin(x))
√(1 − x^2)
cos(arctan(x))
1/√(1 + x^2)
sin(arctan(x))
x/√(1 + x^2)
arccos (x) + arcsin (x)
π/2
arccos (x) + arccos (−x)
π
arctan x + arctan1/x
signe (x).π/2
d/dx (a^x)
(lna)a^x
(cos θ + isin θ)^n
cos nθ + isin nθ
Re z/|z|
cosx
Imz/|z|
sinx
Imz/Rez
tanx
z=a+ib, e^z?
e^a(cos b + isin b)