Trig Identities Flashcards

1
Q

sin x ≈

A

x

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2
Q

cos x ≈

A

1 - 0.5x^2

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3
Q

Differentiate sinx

A

cosx

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4
Q

Differentiate cosx

A

-sinx

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5
Q

differentiate tanx

A

sec^2x

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6
Q

Differentiate cosecx

A

-cosecxcotx

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7
Q

Differentiate secx

A

tanxsecx

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8
Q

Differentiate cotx

A

-cosec^2x

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9
Q

How to use Rsin(x+α)

A

Expand to
Rsinxcosα + Rsinαcosx
Then comepare coefficients
- square and add
- divide, sinx/cosx = tanx to solve

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10
Q

Sin2A

A

= 2sinAcosA

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11
Q

Cos2A =

A

cos^2A - sin^2A
(Or sub in sin^2A+cos^2A = 1)

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12
Q

Tan2A

A

= 2tanA / (1-tan^2A)

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13
Q

sin(A+B) =

A

sinAcosB+sinBcosA

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14
Q

cos(A+B) =

A

cosAcosB - sinAsinB

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15
Q

tan(A+B)

A

tanA+tanB / (1-tanAtanB)

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16
Q

sin(A-B) =

A

sinAcosB - sinBcosA

17
Q

cos(A-B) =

A

cosAcosB+sinAsinB

18
Q

What is arc(sin or cos or tan)

A

Basically sin^-1

19
Q

1+tan^2x ==

A

sec^2x

20
Q

1 + cot^2x ==

A

cosec^2x

21
Q

cotx =

A

cosx / sinx

22
Q

secx =

A

1 / cosx