Trigonométrie, classe de seconde - MathsFG

(O;~ i;~ j)
(O;~ OI;~ OJ)
DI(OI)
(I;~ IK)IK = 1
x N x
(I;~ IK)D D
CM
x IM
x=π
2M\
IOM = 90◦x=pi
3M\
IOM = 60◦
x y M
y=x+ 2kπ k ∈Z

(O;~ OI;~ OJ)
DI(OI)
x N x (I;~ IK)D
D C M
x IM
(O;~ i;~ j)
x
•xcos x M
x
•xsin x M
x
x M cos(x) = cos(\ IOM)
sin( ) = sin(\ IOM)
0 0 1 0
30 π
6
√3
2
1
2
45 π
4
√2
2
√2
2
60 π
3
1
2
√3
2
90 π
20 1
180 π−1 0
x
•(cos (x))2+ (sin (x))2= 1
• −1≤cos (x)≤1−1≤sin (x)≤1
•cos (−x) = cos (x) sin (−x) = −sin (x)
•cos (x+ 2π) = cos (x) sin (x+ 2π) = sin (x)