Addition Formulae and Double Angle Flashcards

1
Q

Cos (A + B) =

A

cosAcosB - sinAsinB

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2
Q

cosAcosB - sinAsinB

A

cos (A + B)

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3
Q

Cos (A - B) =

A

cosAcosB + sinAsinB

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4
Q

cosAcosB + sinAsinB

A

Cos (A - B)

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5
Q

Expand cos (G + H)

A

cosGcosH- sinGsinH

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6
Q

Expand cos (N - 35)

A

cosNcos35 + sinNsin35

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7
Q

Expand and simplify cos170cos70 - sin170sin70

A

-1/2

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8
Q

Simplify:

A

cos square root 3/2

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9
Q

Simplify cos (x - y) - cos (x + y)

A

2sinxsiny

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10
Q

Expand cos (x + pi/6)

A

1/2 (square root3cosx - sinx)

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11
Q

Expand cos (pi - theta)

A

-1costheta

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12
Q
A

a) 5/13
b) 4/5
c) 56/65

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13
Q
A
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14
Q

Sin (A + B) =

A

sinAcosB + cosAsinB

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15
Q

sinAcosB + cosAsinB = ?

A

Sin (A + B)

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16
Q

Sin (A - B) = ?

A

SinAcosB - cosAsinB

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17
Q

SinAcosB - cosAsinB =

A

Sin (A - B)

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18
Q

Expand sin (U + V)

A

sinUcosV + cosUsinV

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19
Q

Sin (P - Q)

A

sinPcosQ - cosPsinQ

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20
Q

By writing 105 as 60 + 45 find the value of sin105

A
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21
Q

Simplify sin100cos55 - cos100sin55

A
22
Q
A
23
Q
A

16/65

24
Q
A
25
Q
A

-cos theta

26
Q

Simplify cos (x + 60) - sin (x + 30)

A
27
Q

Simplify sin(x + 150) + sin(x - 330)

A

cosx

28
Q
A
29
Q
A
30
Q

Tanx = ?

A

Sinx / cosx

31
Q
A
32
Q
A

63/65

33
Q

All trig identities

A
34
Q

Write sin4x using trig identities

A

2sin(2x)cos(2x)

35
Q

Write cos10x using trig identities

A

cos^2 (5x) - sin^2 (5x)

36
Q
A

1/2

37
Q
A

1/ square root 2

38
Q
A

a) 1/ root 10

b) 3/5

c) -4/5

d) -24/25

39
Q
A

15/17

40
Q
A
41
Q
A
42
Q
A

90, 210, 270, 330

43
Q
A

0, 90, 360

44
Q
A

0, 120, 180, 240, 360

45
Q
A

0, 60, 90, 300, 360

46
Q
A

0, 60, 300, 360

47
Q
A

x = 41.8, 138.2, 210, 330

48
Q
A

60, 180, 330

49
Q
A
50
Q
A

a) y = 3sinx
y = cos2x + 1

b) A(30, 1.5), B(150, 1.5)