Formulaire de Trigonométrie

Question 1

cos(0)

Answer 1

1

Question 2

cos(π/6)

Answer 2

√(3)/2

Question 3

cos(π/4)

Answer 3

√(2)/2

Question 4

cos(π/3)

Answer 4

1/2

Question 5

cos(π/2)

Answer 5

0

Question 6

cos(2π/3)

Answer 6

-1/2

Question 7

cos(π)

Answer 7

-1

Question 8

cos(3π/2)

Answer 8

0

Question 9

cos(2π)

Answer 9

1

Question 10

sin(0)

Answer 10

0

Question 11

sin(π/6)

Answer 11

1/2

Question 12

sin(π/4)

Answer 12

√(2)/2

Question 13

sin(π/3)

Answer 13

√(3)/2

Question 14

sin(π/2)

Answer 14

1

Question 15

tan(0)

Answer 15

0

Question 16

tan(π/6)

Answer 16

1/√(3)

Question 17

tan(π/4)

Answer 17

1

Question 18

tan(π/3)

Answer 18

√(3)

Question 19

tan(π/2)

Answer 19

+∞

Question 20

cos(θ + π/2)=

Answer 20

−sinθ

Question 21

sin(θ + π/2)=

Answer 21

cosθ

Question 22

cos(π/2 −θ)=

Answer 22

sinθ

Question 23

sin(π/2 −θ)=

Answer 23

cosθ

Question 24

cos(π−θ) =

Answer 24

−cosθ

Question 25

sin(π−θ) =

Answer 25

sinθ

Question 26

cos(θ + π) =

Answer 26

−cosθ

Question 27

sin(θ + π) =

Answer 27

−sinθ

Question 28

cos(−θ) =

Answer 28

cosθ

Question 29

sin(−θ) =

Answer 29

−sinθ

Question 30

cos2 x + sin2 x =

Answer 30

1

Question 31

1 + tan² x =

Answer 31

1 / cos² x

Question 32

cos(a−b) =

Answer 32

cosacosb + sinasinb

Question 33

cos(a + b) =

Answer 33

cosacosb−sinasinb

Question 34

sin(a−b) =

Answer 34

sinacosb−cosasinb

Question 35

sin(a + b) =

Answer 35

sinacosb + cosasinb

Question 36

cos(2a) =

Answer 36

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

Question 37

sin(2a) =

Answer 37

2sinacosa

Question 38

cos²(x) =

Answer 38

(1 + cos(2x))/2

Question 39

sin2 x =

Answer 39

sin²(x) =(1−cos(2x))/2

Question 40

cos(u)=cos(v)

Answer 40

⟺(u=v [2π] ou u=-v [2π])

Question 41

sin(u)=sin(v)

Answer 41

⟺(u=v [2π] ou u=π-v [2π])

Question 42

tan(u)=tan(v)

Answer 42

⟺(u=v [π])

Question 43

cosp + cosq =

Answer 43

2cos((p + q) /2 ) cos((p−q)/2)

Question 44

cosp−cosq =

Answer 44

−2sin((p + q)/2) sin((p−q)/2)

Question 45

sinp + sinq =

Answer 45

2sin((p + q)/2) cos((p−q)/2 )

Question 46

sinp−sinq =

Answer 46

2sin((p−q)/2) cos((p + q)/2 )

Question 47

cosacosb =

Answer 47

1/2[cos(a + b) + cos(a−b)]

Question 48

sinasinb =

Answer 48

1 /2[cos(a−b)−cos(a + b)]

Question 49

sinacosb =

Answer 49

1/2[sin(a + b) + sin(a−b)]

Question 50

tan((π/2)-x)=

Answer 50

cotan(x)

Question 51

tan((π/4)+h)=

Answer 51

cotan((π/4)-h)