Quick Final Mem Flashcards
Sin²X + _____ = 1
Cos²X
1 + Tan²X =
Sec²X
1 + Cot²X =
Csc²X
Sin-X =
-SinX
Cos-X
CosX
Tan-X
-TanX
Sin(a+b) =
SinaCosb + SinbCosa
Sin(a-b) =
SinaCosb - SinbCosa
Cos(a+b) =
CosaCosb - SinaSinb
Cos(a-b) =
CosaCosb + SinaSinb
Sin2X =
2SinXCosX
Cos2X =
Cos²X - Sin²X
Cos²X - Sin²X =
2Cos²X - 1
2Cos²X - 1 =
1 - 2Sin²X
Cos(pi/2 - X) =
SinX
Sin(pi/2 - X) =
CosX
lim n->∞ (1+1/n)^n =
e
lim n->0 (1+1/n)^(1/n) =
e
∫Sec(u)du =
lnISecU+TanUI + C
∫Csc(u)du =
lnICscU-CotUI + C
∫du/sqrt(a² - u²) =
ArcSin(u/a) + C
∫du/sqrt(a² + u²) =
(1/a)ArcTan(u/a) + C
∫du/uSqrt(u² - a²) =
(1/a)ArcSec(u/a) + C
d/dx(ArcSinX) =
1/Sqrt(1-X²)
d/dx(ArcCosX) =
-1/Sqrt(1-X²)
d/dx(ArcTanX) =
1/(1+X²)
d/dx(ArcCotX) =
-1/(1+X²)
d/dx(ArcSecX) =
1/[Xsqrt(X²-1)]
d/dx(ArcCscX) =
-1/[Xsqrt(X²-1)]