trigo
cos (pi/2 - x)
= sin(x)
sin (pi/2 - x)
= cos (x)
tan (pi/2 - x)
= cos (x)/sin (x) = 1/tan (x)
cos (pi/2 + x)
= - sin (x)
sin (pi/2 + x)
= cos (x)
tan (pi/2 + x)
= cos (x)/-sin (x) = -1/tan (x)
cos (pi-x)
= -cos(x)
sin(pi-x)
= sin(x)
tan(pi-x)
=sin(x)/-cos(x) =-tan(x)
cos(pi+x)
= -cos(x)
sin(pi+x)
=-sin(x)
tan(pi+x)
=-sin(x)/-cos(x) =tan(x)
cos(-x)
=cos(x)
sin(-x)
=-sin(x)
tan(-x)
=-tan(x)
distance entre 2 points
|AB| = V(xB - xA)2 + (yB - yA)2
y
=sin(x)
x
=cos(x)
sin
y=0
cos
y=1
Amplitude
A = max-min : 2
vitesse angulaire
omega = 2pi/T
phase à l'origine
phi = -phi/omega = t
décalage vertical
b = max+min : 2
période
T = 2pi/oméga
fréquence
f = 1/T
déphasage (deplacement horizontal)
t = -phi/omega = f(max) + f(min) : 2
f(x)
= A.sin (omega.t + phi)+b
cos(x)=cos(a)
x = a+k.2pi x = -a+k.2pi S={+-a+k.2pi|kEZ}
sin(x)=sin(a)
x = a+k.2pi x = pi-a+k.2pi S={a+k.2pi, pi-a+k.2pi|kEZ}
tan(x)=tan(a)
x = a+k.pi S={a+k.pi|kEZ}
1
=sin2(x)+cos2(x)
tan(x)
=sin(x)/cos(x)
longueur d'arc
l = r.a (radian)
aire secteur circulaire
A = 1/2 r2. a