Тригонометрия Flashcards

1
Q

Основное тождество

A

Sin^2 a + cos^2=1

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2
Q

Тангенс угла

A

Sin/cos

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3
Q

Котангенс

A

Cos/sin

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4
Q

Тангенс с помощью котангенса

A

th = 1/ctg a

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5
Q

Котангенс с помощью синуса

A

1+ctg^2= 1/sin^2

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6
Q

Тангенс с помощью косинуса

A

1+tg^2 = 1/cos^2

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7
Q

Сумма синусов

A

Sin (a+b) = sinacosb - sinbcosa

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8
Q

Сумма косинусов

A

Cos(a+b) = cos a * cos b - sin a * sin b

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9
Q

Разность аргументов тангенса

A

tg ( a - b) = ( tg a - tg b) / ( 1+ tg a * tg b)

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10
Q

Двойной аргумент синуса

A

Sin 2a = 2sin * cos

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11
Q

Двойной аргумент косинуса

A

Cos 2a = cos^2 - sin^2

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12
Q

Двойной тангенс

A

tg2a = 2 tg / 1- tg^2

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13
Q

Отрицательный синус

A

Sin (-a) = - sin a

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14
Q

Отрицательный косинус

A

Cos ( -a) = cos a

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15
Q

Отрицательный тангенс

A

tg ( -a) = - tg

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16
Q

Отрицательный котангенс

A

Ctg (-a)= -ctg

17
Q

Обратный отрицательный синус

A

Arcsin (-a) = - arcsin a

18
Q

Обратный отрицательный косинус

A

Arccos ( -a) = П- arccos a

19
Q

Обратный отрицательный тангенс

A

Arctg (-a) = - arctg

20
Q

Обратный отрицательный котангенс

A

Arcctg (-a) = П - arcctg a