trigonometrie Flashcards

1
Q

sin(x+y)

A

sin x * cos y + sin b * cos a

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2
Q

sin(x-y)

A

sin x * cos y - sin b * cos a

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3
Q

cos(x+y)

A

cos x * cos y - sin x * sin y

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4
Q

cos(x-y)

A

cos x * cos y + sin x * sin y

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5
Q

cos2x

A

cos^2 x - sin^2 x
1- 2sin^2 x
2cos^2 x -1

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6
Q

sin2x

A

2 sin x * cos x

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7
Q

tg(x+y)

A

tg x + tg y/1 - tg x * tg y

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8
Q

tg (x-y)

A

tg x - tg y/1+ tg x * tg y

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9
Q

ctg(x+y)

A

ctg x * ctg y -1/ ctg x + ctg y

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10
Q

ctg(x-y)

A

ctg x * ctg y +1/ ctg x - ctg y

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11
Q

tg 2x

A

2tg x/ 1- tg^2 x

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12
Q

ctg 2x

A

ctg^2 x - 1/ 2 ctg x

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13
Q

cos 3x

A

cos x(4 cos ^2 x -3)

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14
Q

sin 3x

A

sin x( 3 - 4 sin^2)

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15
Q

sin( arccos x)

A

sqrt 1- x^2

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16
Q

cos ( arcsin x)

A

sqrt 1- x^2

17
Q

arcsin x + arccos x

A

pi/2

18
Q

arctg x+ arcctg x

A

pi/2

19
Q

sin x + sin y

A

2 sin x+y/2 * cos x-y/2

20
Q

sin x - sin y

A

2 sin x- y/2 * cos x+y/2

21
Q

cos x + cos y

A

2 cos x+y/2 * cos x-y/2

22
Q

cos x - cos y

A

2 sin x - y/2 * sin x+y/2

23
Q

sin * sin y

A

cos(x-y) + cos (x+y)/2

24
Q

sin x * cos y

A

sin(x+y) + son(x-y)/2

25
Q

cos x * cos y

A

cos (x+y) + cos (x-y)/2