Trigonometrie Flashcards

1
Q

sin2x =

A

2sinxcosx

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2
Q

cos2x =

A
  1. 2cos^2 (x) - 1

2. 1 - 2sin^2 (x)

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3
Q

sin(-x) =

A

-sinx

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4
Q

cos(-x) =

A

cosx

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5
Q

tg(-x) =

A

-tgx

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6
Q

ctg(-x) =

A

-ctgx

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7
Q

sin(a+b)

A

sin a x cos b + sin b x cos a

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8
Q

sin(a-b)

A

sin a x cos b - sin b x cos a

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9
Q

cos(a+b)

A

cos a x cos b - sin a x sin b

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10
Q

cos(a-b)

A

cos a x cos b + sin a x sin b

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11
Q

sin a + sin b

A

2 sin (a+b/2) x cos (a-b/2)

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12
Q

sin a - sin b

A

2 cos (a+b/2) x sin (a-b/2)

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13
Q

cos a + cos b

A

2 cos (a+b/2) x cos (a-b/2)

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14
Q

cos a - cos b

A

-2 sin (a+b/2) x sin (a-b/2)

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15
Q

sin a x sin b

A

cos (a-b) - cos (a+b) / 2

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16
Q

cos a x cos b

A

cos (a+b) + cos (a-b) / 2

17
Q

sin a x cos b

A

sin (a+b) + sin (a-b) / 2

18
Q

tg(a-b)

A

tg a - tg b/ 1 + tg a x tg b