Compound Angles Flashcards
1
Q
sin(A+B)
A
sinAcosB + cosAsinB
2
Q
sin(A-B)
A
sinAcosB - cosAsinB
3
Q
cos(A+B)
A
cosAcosB - sinAsinB
4
Q
cos(A-B)
A
cosAcosB + sinAsinB
5
Q
tan(A+B)
A
tanA + tanB
1 - tanAtanB
6
Q
tan(A-B)
A
tanA - tanB
1 + tanAtanB
7
Q
cot(A+B)
A
cotAcotB - 1
cotB + cotA
8
Q
cot(A-B)
A
cotAcotB + 1
cotB - cotA
9
Q
sin(A+B)sin(A-B)
A
sin²A - sin²B
Or
cos²B - cos²A
10
Q
cos(A+B)cos(A-B)
A
cos²A - sin²B
Or
cos²B - sin²A
11
Q
2sinAcosB
A
sin(A+B) + sin(A-B)
12
Q
2cosAsinB
A
sin(A+B) - sin(A-B)
13
Q
2cosAcosB
A
cos(A+B) + cos(A-B)
14
Q
2sinAsinB
A
cos(A-B) - cos (A+B)
15
Q
sinC + sinD
A
2sin((C+D)/2)cos((C-D/2))
16
Q
sinC - sinD
A
2cos((C+D)/2)sin((C-D/2))
17
Q
cosC + cosD
A
2cos((C+D)/2)cos((C-D/2))
18
Q
cosC - cosD
A
2sin((C+D)/2)sin((D-C/2))
