trigonometry identities and more Flashcards

1
Q

derivative of sinx

A

cosx

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2
Q

derivative of sin kx

A

kcos kx

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3
Q

derivative of cos x

A

-sin x

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4
Q

derivative of cos kx

A

-ksin kx

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5
Q

derivative of tan x

A

sec^2x

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6
Q

derivative of tan kx

A

k sec^2 kx

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7
Q

derivative of sec x

A

sec x tan x

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8
Q

derivative of sec kx

A

ksec kx tan kx

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9
Q

derivative of cot x

A

-cosec^2 x

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10
Q

derivative of cot kx

A

-kcosec^2 kx

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11
Q

derivative of cosec x

A

-cosec x cot x

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12
Q

cosec kx

A

-kcosec kx cot kx

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13
Q

sin^2 x + cos^2 x = ?

A

1

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14
Q

sin2A = ?

A

2sinAcosA

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15
Q

sin4A = ?

A

2sin2Acos2A

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16
Q

sin3A = ?

A

2sin3A/2cos3A/2

17
Q

sinA = ?

A

2sinA/2cosA/2

18
Q

cos2A = ?

A

2cos^2 A - 1 and 1 - 2sin^2 A

19
Q

sec^2 A = ?

A

1 + tan^2 A

20
Q

cosec^2 A

A

1 + cot^2 A

21
Q

tan2A = ?

A

2tanA / 1 - tan^2 A

22
Q

tan (A + B) = ?

A

tanA + tanB / 1- tanAtanB

23
Q

tan (A - B) = ?

A

tanA - tanB / 1 + tanAtanB

24
Q

cos (A + B) = ?

A

cosAcosB - sinAsinB

25
Q

cos (A - B) = ?

A

cosAcosB + sinAsinB

26
Q

sin (A + B) = ?

A

sinAcosB + cosAsinB

27
Q

sin (A - B) = ?

A

sinAcosB - cosAsinB