Trigonometriska Identiteter Flashcards

1
Q

cos(s + t) = ?

A

cos s * cos t - sin s * sin t

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2
Q

sin(s + t) = ?

A

sin s * cos t + cos s * sin t

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3
Q

cos(s - t) = ?

A

cos s * cos t + sin s * sin t

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4
Q

sin(s - t) = ?

A

sin s * cos t - cos s * sin t

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5
Q

The Pythagorean identity

A

cos^2 t + sin^2 t = 1

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6
Q

Cos supplementary angle identities

A

cos(pi - t) = -cos t

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7
Q

Sin supplementary angle identities

A

sin(pi - t) = sin t

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8
Q

tan t = ?

A

sin t / cos t

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9
Q

cot t = ?

A

cos t / sin t

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10
Q

sec t = ?

A

1 / cos t

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11
Q

csc t = ?

A

1 / sin t

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12
Q

Sine Law

A

sin A / a = sin B / b + sin C / c

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13
Q

Cosine Law: a^2 = ?

A

b^2 + c^2 - 2bc * cos A

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14
Q

Cosine Law: b^2 = ?

A

a^2 + c^2 - 2ac * cos B

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15
Q

Cosine Law: c^2 = ?

A

a^2 + b^2 - 2ab * cos C

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16
Q

tan2x = ?

A

1 + sec2x

17
Q

cos2 x = ?

A

1 + cos 2x / 2

18
Q

sin2 x = ?

A

1 - cos 2x / 2

19
Q

sin 2x = ?

A

2 sin x * cos x

20
Q

cos 2x = ?

A

2 cos2 x - 1 = 1 - 2 sin2 x

21
Q

sec2 x = ?

A

1 + tan2 x

22
Q

csc2 x = ?

A

1 + cot2 x