math.py

Created by klfraimbow

Created on February 06, 2022

1.19 KB


e(t)=0 si t<0 
e(t)=0,5t si t</0<2
e(t)=1 si 2</0<3
e(t)=5 si t>/3
Tableau -> fin tableau = additionne vers le bas 
Tableau -> equation = droite - gauche 
-------------------------------------------------
radians   0    pi/6     pi/4     pi/3    pi/2   pi
degre     0     30       45       60      90    180
cos       1   sqrt3/2  sqrt2/2    1/2      0    -1
sin       0    1/2     sqrt2/2  sqrt3/2    1     0
-----------------------------------------------
sin-x = -sinx
cos-x = cosx 

sin pi-x = sinx    sin pi+x= -sinx         
cos pi-x = -cosx   cos pi+x= -cosx

cos(a+b)= cosa * cosb - sina * sinb
cos(a-b)= cosa * cosb + sina * sinb
sin(a+b)= sina * cosb + sinb * cosa
sin(a-b)= sina * cosb - sinb * cosa

cos2x = cos**2 x - sin**2 x
cos**2 x = cos2x+1/2
sin**2 x = 1-cos2x/2

periode : 2pi/w 
tan periode: pi/w avec w=/0
---------------------------
exo:
cos(3t+ pi/4)= cos3t*cospi/4 - sin3t*sinpi/4
      = cos3t* sqrt2/2 - sin3t* sqrt2/2
      = sqrt2/2 (cos3t - sin3t)

sqrt3sin(2t)-cos(2t)= 2[sqrt3/2 * sin2t - 1/2 * cos2t]
= 2(cospi/6 * sin2t - sinpi/6 * cos2t)
=2sin(2t-pi/6)

pi/4 ou pi/3 ou pi/6
-----------------------------
Parite 
si f(-x)=f(x)  -> f paire 
   f(-x)=-f(x) -> f impaire 

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