Addition Formulae and Double Angle Flashcards
1
Q
Cos (A + B) =
A
cosAcosB - sinAsinB
2
Q
cosAcosB - sinAsinB
A
cos (A + B)
3
Q
Cos (A - B) =
A
cosAcosB + sinAsinB
4
Q
cosAcosB + sinAsinB
A
Cos (A - B)
5
Q
Expand cos (G + H)
A
cosGcosH- sinGsinH
6
Q
Expand cos (N - 35)
A
cosNcos35 + sinNsin35
7
Q
Expand and simplify cos170cos70 - sin170sin70
A
-1/2
8
Q
Simplify:
A
cos square root 3/2
9
Q
Simplify cos (x - y) - cos (x + y)
A
2sinxsiny
10
Q
Expand cos (x + pi/6)
A
1/2 (square root3cosx - sinx)
11
Q
Expand cos (pi - theta)
A
-1costheta
12
Q
A
a) 5/13
b) 4/5
c) 56/65
13
Q
A
14
Q
Sin (A + B) =
A
sinAcosB + cosAsinB
15
Q
sinAcosB + cosAsinB = ?
A
Sin (A + B)
16
Q
Sin (A - B) = ?
A
SinAcosB - cosAsinB
17
Q
SinAcosB - cosAsinB =
A
Sin (A - B)
18
Q
Expand sin (U + V)
A
sinUcosV + cosUsinV
19
Q
Sin (P - Q)
A
sinPcosQ - cosPsinQ
20
Q
By writing 105 as 60 + 45 find the value of sin105
A
21
Q
Simplify sin100cos55 - cos100sin55
A
22
Q
A
23
Q
A
16/65
24
Q
A
25
-cos theta
26
Simplify cos (x + 60) - sin (x + 30)
27
Simplify sin(x + 150) + sin(x - 330)
cosx
28
29
30
Tanx = ?
Sinx / cosx
31
32
63/65
33
All trig identities
34
Write sin4x using trig identities
2sin(2x)cos(2x)
35
Write cos10x using trig identities
cos^2 (5x) - sin^2 (5x)
36
1/2
37
1/ square root 2
38
a) 1/ root 10
b) 3/5
c) -4/5
d) -24/25
39
15/17
40
41
42
90, 210, 270, 330
43
0, 90, 360
44
0, 120, 180, 240, 360
45
0, 60, 90, 300, 360
46
0, 60, 300, 360
47
x = 41.8, 138.2, 210, 330
48
60, 180, 330
49
50
a) y = 3sinx
y = cos2x + 1
b) A(30, 1.5), B(150, 1.5)
