pure 2 Flashcards
1
Q
z1z2
A
r1r2e^i(a1+a2)
2
Q
z1/z2
A
r1/r2 E^i(a1-a2)
3
Q
r(cosa+isina)^n
A
r^n(cosna+isinna)
4
Q
z+1/z
A
2cosa
5
Q
z-1/z
A
2isina
6
Q
z^n+1/z^n
A
2cosna
7
Q
z^n-1/z^n
A
2isinna
8
Q
polar x
A
cos a
9
Q
polar y
A
sin a
10
Q
r=a
A
circle centre O rad a
11
Q
a=alpha
A
halfline
12
Q
r=alpha a
A
spiral
13
Q
tangent parallel to intial line
A
dy/da=0
14
Q
tangent perpendicular to line
A
dx/da=0
15
Q
sinhx
A
(e^x-e^-x)/2
16
Q
coshx
A
(e^x+e^-x)/2
17
Q
tanhx
A
(e^(2x)-1)/(e^(2x)+1)
18
Q
arsinhx
A
ln(x+sqrt(x^2+1))
19
Q
arcoshx
A
ln(x+sqrt(x^2)-1)
20
Q
artanhx
A
1/2ln(1+/1-x)
21
Q
(coshA)^2-(sinhA)^2
A
1
22
Q
derive arsinhx
A
1/sqrt(x^2+1)
23
Q
derive arcoshx
A
1/sqrt(x^2-1)
24
Q
derive artanhx
A
1/1-x^2
