1. An´lise Matem´tica
a a Pedro Dias
1 Seno
y
1
π π
x sin(x) : − , −→ [−1, 1]
2 2
−π π
2 2
−1 sin(−x) = −sin(x)
2 Co-seno
y
1
0 x cos(x) : [0, π] −→ [−1, 1]
π
2 π
cos(x) = cos(−x)
−1
3 Tangente
y
1
π π
x tan(x) : − , −→ R
2 2
−π π
2 2
−1 sin(x)
tan(x) = , cos(x) = 0
cos(x)
cotan(x) : ]0, π[ −→ R
y
1 tan(x) π o π o π o π o
α 6 (30 ) 4 (45 ) 3 (60 ) 2 (90 )
√
1 1 3 sqrt1
sin(x) sin(α) 2
√
2 2 2 =1
α √
3 1 1
x cos(α) 2
√
2 2 0
−1 cos(x) 1
1
√
tan(α) √
3
1 3 − inf
2 2
sin (α) + cos (α) = 1
−1 tan2 (α) + 1 = sec2 (α)
sin(α ± β) = sin(α) • cos(β) ± sin(β) • cos(α)
1

2. An´lise Matem´tica
a a Pedro Dias
cos(α ± β) = sin(α) • cos(β) ∓ sin(β) • cos(α)
2