Trigonometry - formulas Flashcards

1
Q

cos (x+y)

A

cos x cos y - sin x sin y

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2
Q

cos (x-y)

A

cos x cos y + sin x sin y

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3
Q

sin (x+y)

A

sin x cos y + cos x sin y

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4
Q

sin (x-y)

A

sin x cos y - cos x sin y

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5
Q

tan (x+y)

A

(tan x - tan y)/(1 + tan x tan y)

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6
Q

cot (x+y)

A

(cot x cot y - 1)/(cot x + cot y)

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7
Q

cot (x-y)

A

(cot x cot y + 1)/(cot y - cot x)

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8
Q

sin (-x)

A
  • sin x
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9
Q

cos (-x)

A

cos x

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10
Q

tan (-x)

A
  • tan x
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11
Q

sin (pi/2 - x)

A

cos x

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12
Q

cos (pi/2 - x)

A

sin x

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13
Q

tan (pi/2 - x)

A

cot x

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14
Q

sin (pi/2 + x)

A

cos x

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15
Q

cos (pi/2 + x)

A
  • sin x
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16
Q

tan (pi/2 + x)

A
  • cot x
17
Q

sin (pi - x)

A

sin x

18
Q

cos (pi - x)

A
  • cos x
19
Q

tan (pi - x)

A
  • tan x
20
Q

sin (pi + x)

A
  • sin x
21
Q

cos (pi + x)

A
  • cos x
22
Q

tan (pi + x)

A

tan x

23
Q

sin (3pi/2 - x)

A
  • cos x
24
Q

cos (3pi/2 - x)

A
  • sin x
25
Q

tan (3pi/2 - x)

A

cot x

26
Q

sin (3pi/2 + x)

A
  • cos x
27
Q

cos (3pi/2 + x)

A

sin x

28
Q

tan (3pi/2 + x)

A
  • cot x
29
Q

sin (2n.pi - x)

A
  • sin x
30
Q

cos (2n.pi - x)

A

cos x

31
Q

tan (2n.pi - x)

A
  • tan x
32
Q

sin (2n.pi + x)

A

sin x

33
Q

cos (2n.pi + x)

A

cos x

34
Q

tan (2n.pi + x)

A

tan x

35
Q

sin (x+y) sin (x-y)

A

sin2 x - sin2 y

36
Q

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

A

cos2 x - sin2 y