Formulaire - Trigonométrie Flashcards
(33 cards)
cos(a+b) = ?
cos( a + b ) = cos a sin b − sin a sinb
cos(a − b) = ?
cos(a − b) = cos a cos b + sin a sin b
sin(a + b) = ?
sin(a + b) = sin a cos b + sin b cos a
sin(a− b)= ?
sin(a− b)= sin a cosb− sinb cos a
cos(2a)= ?
cos(2a)= cos2(a)− sin2(a)
= 2cos2(a)− 1
= 1− 2sin2(a)
sin(2a)= ?
sin(2a)= 2sin(a)cos(a)
cos^2(a)= ?
cos^2(a)= (1 + cos(2a))/2
sin^2(a)= ?
sin^2(a)=(1-cos(2a))/2
cos(a)cos(b)= ?
cos(a)cos(b)= 1/2[cos(a-b)+cos(a+b)]
sin(a)sin(b)= ?
sin(a)sin(b)= 1/2[cos(a-b)-cos(a+b)]
sin(a)cos(b)= ?
sin(a)cos(b)= 1/2[sin(a+b)+sin(a-b)]
cos(p)+cos(q) = ?
cos(p)+cos(q) = 2cos((p+q)/2)cos((p-q)/2)
cos(p)-cos(q) = ?
cos(p)-cos(q) = -2sin((p+q)/2)sin((p-q)/2)
sin(p)+sin(q) = ?
sin(p)+sin(q) = 2sin((p+q)/2)cos((p-q)/2)
sin(p)-sin(q) = ?
sin(p)-sin(q) = 2cos((p+q)/2)sin((p-q)/2)
tan(a+b) = ?
tan(a-b) = ?
tan(2a) = ?
tan’(x) = ?
tan’(x)=1+tan^2(x)
=1/cos^2(x)
cos(0)
1
cos(π/2)
0
cos(π/3)
1/2
cos(π/6)
rcn(3)/2
cos(π/4)
rcn(2)/2
