Additiondformler, dubbla/halva vinkeln, radianer Flashcards
1
Q
cos(u-v)
A
cos(u)cos(v)+sin(u)sin(v)
2
Q
cos(u+v)
A
cos(u)cos(v)-sin(u)sin(v)
3
Q
sin(u-v)
A
sin(u)cos(v)-cos(u)sin(v)
4
Q
Sin(u+v)
A
sin(u)cos(v)+cos(u)sin(v)
5
Q
Sin(2v)
A
Sin(2v)=2sin(v)cos(v)
6
Q
Cos(2v)
A
Cos(2v) = cos²(v)-sin²(v)
= 2cos²(v)-1
= 1- 2sin²(v)
7
Q
tan(2v)
A
tan(2v)= 2tan(v)/1-tan²(v)
8
Q
cos(-v)
A
cos(-v) = cos(v)
9
Q
cos (π-v)
A
cos (π-v) = -cos(v) = cos(π+v)
10
Q
sin (-v)
A
sin(-v) = - sin (v)
11
Q
sin(π-v)
A
sin(π-v) = sin(v)
12
Q
sin(π+v)
A
sin(π+v)= -sin(v)
13
Q
tan(-v)
A
tan(-v)= -tan(v)
14
Q
tan(π-v)
A
tan(π-v)= -tan(v)
15
Q
tan(π+v)
A
tan(π+v) = tan(v)
16
Q
Trig.ettan
A
cos²+sin²=1
17
Q
cos(v/2)
A
cos(v/2)= ±√(1+cos(v))/2
18
Q
sin(v/2)
A
sin(v/2)=±√(1-cos(v))/2
19
Q
tan(v/2)
A
tan(v/2)=±√(1-cos(v))/(1+cos(v))
20
Q
Period för cos & sin
A
2π
21
Q
Period för tan & cot
A
π
22
Q
2π
A
360°
23
Q
π
A
180°
24
Q
π/3
A
60°
25
Q
2π/3
A
120°
26
Q
π/4
A
45°
27
Q
π/6
A
30°
