Quick Final Mem Flashcards
(29 cards)
1
Q
Sin²X + _____ = 1
A
Cos²X
2
Q
1 + Tan²X =
A
Sec²X
3
Q
1 + Cot²X =
A
Csc²X
4
Q
Sin-X =
A
-SinX
5
Q
Cos-X
A
CosX
6
Q
Tan-X
A
-TanX
7
Q
Sin(a+b) =
A
SinaCosb + SinbCosa
8
Q
Sin(a-b) =
A
SinaCosb - SinbCosa
9
Q
Cos(a+b) =
A
CosaCosb - SinaSinb
10
Q
Cos(a-b) =
A
CosaCosb + SinaSinb
11
Q
Sin2X =
A
2SinXCosX
12
Q
Cos2X =
A
Cos²X - Sin²X
13
Q
Cos²X - Sin²X =
A
2Cos²X - 1
14
Q
2Cos²X - 1 =
A
1 - 2Sin²X
15
Q
Cos(pi/2 - X) =
A
SinX
16
Q
Sin(pi/2 - X) =
A
CosX
17
Q
lim n->∞ (1+1/n)^n =
A
e
18
Q
lim n->0 (1+1/n)^(1/n) =
A
e
19
Q
∫Sec(u)du =
A
lnISecU+TanUI + C
20
Q
∫Csc(u)du =
A
lnICscU-CotUI + C
21
Q
∫du/sqrt(a² - u²) =
A
ArcSin(u/a) + C
22
Q
∫du/sqrt(a² + u²) =
A
(1/a)ArcTan(u/a) + C
23
Q
∫du/uSqrt(u² - a²) =
A
(1/a)ArcSec(u/a) + C
24
Q
d/dx(ArcSinX) =
A
1/Sqrt(1-X²)
25
d/dx(ArcCosX) =
-1/Sqrt(1-X²)
26
d/dx(ArcTanX) =
1/(1+X²)
27
d/dx(ArcCotX) =
-1/(1+X²)
28
d/dx(ArcSecX) =
1/[Xsqrt(X²-1)]
29
d/dx(ArcCscX) =
-1/[Xsqrt(X²-1)]
