All identities Flashcards
0
Q
Sin(x-y)
A
Sinxcosy - cosxsiny
1
Q
Sin(x+y)
A
Sinxcosy + cosxsiny
2
Q
Cos(x+y)
A
Cosxcosy-sinxsiny
3
Q
Cos(x-y)
A
Cosxcosy + sinxsiny
4
Q
Tan(x-y)
A
(Tanx-tany)
_________
1+tanxtany
5
Q
Tan(x+y)
A
Tanx+tany
________
1-tanxtany
6
Q
Sin2x
A
2sinxcosx
7
Q
Cos2x
A
Cos^2x-sin^2x
1-2sin^2x
2cos^2x -1
8
Q
Tan2x
A
2tanx
______
1-tan^2x
9
Q
Sin(x/2)
A
_____________
+ - | (1-cosx)/2
10
Q
Cos(x/2)
A
_____________
+ - | (1+cosx/2)
11
Q
Tan(x/2)
A
Sinx/1+cosx
1-cosx/sinx
12
Q
Sin(-x)
A
-sinx
13
Q
Cos(-x)
A
Cosx
14
Q
Tan(-x)
A
-tanx
15
Q
Sinx + siny
A
2sin(x+y/2)cos(x-y/2)
16
Q
Sinx-siny
A
2cos(x+y/2)sin(x-y/2)
17
Q
Cosx+cosy
A
2cos(x+y/2)cos(x-y/2)
18
Q
Cosx-cosy
A
-2sin(x+y/2)sin(x-y/2)
19
Q
Cosxcosy
A
1/2(cos(x+y) + cos(x-y))
20
Q
Sinxsiny
A
1/2(cos(x+y) - cos(x-y))
21
Q
Sinxcosy
A
1/2(sin(x+y) + sin(x-y))
22
Q
Cosxsiny
A
1/2(sin(x+y) - sin(x-y))