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Flashcards in Formulaire de Trigonométrie Deck (51):
1

cos(0)

1

2

cos(π/6)

√(3)/2

3

cos(π/4)

√(2)/2

4

cos(π/3)

1/2

5

cos(π/2)

0

6

cos(2π/3)

-1/2

7

cos(π)

-1

8

cos(3π/2)

0

9

cos(2π)

1

10

sin(0)

0

11

sin(π/6)

1/2

12

sin(π/4)

√(2)/2

13

sin(π/3)

√(3)/2

14

sin(π/2)

1

15

tan(0)

0

16

tan(π/6)

1/√(3)

17

tan(π/4)

1

18

tan(π/3)

√(3)

19

tan(π/2)

+∞

20

cos(θ + π/2)=

−sinθ

21

sin(θ + π/2)=

cosθ

22

cos(π/2 −θ)=

sinθ

23

sin(π/2 −θ)=

cosθ

24

cos(π−θ) =

−cosθ

25

sin(π−θ) =

sinθ

26

cos(θ + π) =

−cosθ

27

sin(θ + π) =

−sinθ

28

cos(−θ) =

cosθ

29

sin(−θ) =

−sinθ

30

cos2 x + sin2 x =

1

31

1 + tan² x =

1 / cos² x

32

cos(a−b) =

cosacosb + sinasinb

33

cos(a + b) =

cosacosb−sinasinb

34

sin(a−b) =

sinacosb−cosasinb

35

sin(a + b) =

sinacosb + cosasinb

36

cos(2a) =

2cos²(a)−1 = cos²(a)−sin²(a) = 1−2sin²(a)

37

sin(2a) =

2sinacosa

38

cos²(x) =

(1 + cos(2x))/2

39

sin2 x =

sin²(x) =(1−cos(2x))/2

40

cos(u)=cos(v)

⟺(u=v [2π] ou u=-v [2π])

41

sin(u)=sin(v)

⟺(u=v [2π] ou u=π-v [2π])

42

tan(u)=tan(v)

⟺(u=v [π])

43

cosp + cosq =

2cos((p + q) /2 ) cos((p−q)/2)

44

cosp−cosq =

−2sin((p + q)/2) sin((p−q)/2)

45

sinp + sinq =

2sin((p + q)/2) cos((p−q)/2 )

46

sinp−sinq =

2sin((p−q)/2) cos((p + q)/2 )

47

cosacosb =

1/2[cos(a + b) + cos(a−b)]

48

sinasinb =

1 /2[cos(a−b)−cos(a + b)]

49

sinacosb =

1/2[sin(a + b) + sin(a−b)]

50

tan((π/2)-x)=

cotan(x)

51

tan((π/4)+h)=

cotan((π/4)-h)