Trigonométrie Flashcards
Cos^2(x)+sin^2(x)=
1
Cos(2a)=
Cos^2(a)-Sin^2(a) = 2cos^2(a)-1 = 1-2sin^2(a)
Sin(2a) =
2cos(a)sin(a)
Cos^2(a) =
(1+cos2a)/2
Sin^2(a) =
(1-cos2a)/2
2cos(a)cos(b) =
Cos(a+b) + Cos(a-b)
Cos(a+b) =
Cos(a)Cos(b)-Sin(a)Sin(b)
Cos(a-b)
Cos(a)Cos(b)+Sin(a)Sin(b)
2sin(a)sin(b) =
cos(a-b) - cos(a+b)
Sin(a+b) =
Sin(a)Cos(b) + Sin(b)Cos(a)
Sin(a-b) =
Sin(a)Cos(b) - Sin(b)Cos(a)
2sin(b)cos(a) =
sin(a+b) - sin(a-b)
2sin(a)cos(b) =
Sin(a+b) + Sin(a-b)
Sin(a) + Sin(b) =
2sin((a+b)/2)cos((a-b)/2)
Sin(a) - Sin(b) =
2sin((a-b)/2)cos((a+b)/2)
Cos(a) + Cos(b) =
2cos((a+b)/2)cos((a-b)/2)
Cos(a) - Cos(b) =
-2sin((a+b)/2)sin((a-b)/2)
1/cos^2(a) =
1+tan^2(a)
Tan(a+b) =
(tan a + tan b)/(1-tan(a)tan(b))
Tan(a-b) =
(tan a - tan b)/(1+tan(a)tan(b))