Identities/Formulas Flashcards
0
Q
sin(u-v)
A
sinucosv-cosusinv
1
Q
sin(u+v)
A
sinucosv+cosusinv
2
Q
cos(u+v)
A
cosucosv-sinusinv
3
Q
cos(u-v)
A
cosucosv+sinusinv
4
Q
tan(u+v)
A
1-tanutanv
5
Q
tan(u-v)
A
1+tanutanv
6
Q
sin2u
A
2sinucosu
7
Q
cos2u
A
cos^2u-sin^2u
8
Q
cos2u
A
1-2sin^2u
9
Q
cos2u
A
2cos^2u-1
10
Q
tan2u
A
1-tan^2u
11
Q
d/dx[f(x)•g(x)]=
A
f(x)g’(x)+g(x)f’(x)
12
Q
d/dx[f(x)/g(x)]=
A
(g(x))^2
13
Q
sin’x=
A
cosx
14
Q
cos’x=
A
-sinx
15
Q
tan’x=
A
sec^2x
16
Q
cot’x=
A
-csc^2x
17
Q
sec’x=
A
secxtanx
18
Q
csc’x=
A
-cscxcotx
19
Q
equation of the tangent line
A
y-f(c)=f’(c)(x-c)
20
Q
equation of the normal line
A
y-f(c)=(-1/f’(c))(x-c)
21
Q
Surface Area Of Sphere
A
A=4πr^2
22
Q
Volume of a Cone
A
V=(1/3)Bh
23
Q
Volume of a Sphere
A
V=(4/3)πr^3
24
Pressure and Volume
PV=c , c is a constant
25
Area of an Ellipse
A=πab