Cálculo - Frank Ayres Jr & Elliot Mendelson - 5ed (1)

Apéndice A
Fórmulas trigonométricas
cos 2 q + sen 2 q = 1
cos(q + 2p) = cosq
sen(q + 2p) = senq
cos(–q) = cosq
sen(–q) = –senq
cos(u + v) = cos u cos v – sen u sen v
cos(u – v) = cos u cos v + sen u sen v
sen(u + v) = sen u cos v + cos u sen v
sen(u – v) = sen u cos v – cos u sen v
sen2q = 2 sen q cos q
cos2q = cos 2 q – sen 2 q = 2 cos 2 q – 1 = 1 – 2 sen 2 q
2
1 cos
cos
2 2
2
1 cos
sen
2 2
cos
sen
2
sen cos
2
; sen(p – q) = sen q; sen(q + p) = –senq
; cos(p – q) = –cos q; cos(q + p) = –cosq
Ley de los cosenos: c 2 = a 2 + b 2 – 2ab cos q
sen sen sen
Ley de los senos: A B C
= =
a b c
C
b
A
a
sen
tan x = x
cos x
= 1
cot x
cos x
cot x = = 1
sen x tan x
sec x = 1
cos x
cosecx
= 1
senx
tan(–x) = –tan x
tan(x + p) = tan x
1 + tan 2 x = sec 2 x
1 + cot 2 x = cosec 2 x
tanu
+ tanv
tan( u + v)
=
1−
tanu
tanv
tanu
− tanv
tan( u − v)
=
1+
tanu
tanv
c
B
523