Trig identities Flashcards by Dani Bajwa | Brainscape

Q

Sin(α + β) =

A

Sin(α)Cos(β) + Cos(α)Sin(β)

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Q

Sin(α - β) =

A

Sin(α)Cos(β) - Cos(α)Sin(β)

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Q

Cos(α + β) =

A

Cos(α)Cos(β) - Sin(α)Sin(β)

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Q

Cos(α - β) =

A

Cos(α)Cos(β) + Sin(α)Sin(β)

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Q

Tan(α + β) =

A

Tan(α) + Tan(β)/ 1 - Tan(α)Tan(β)

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Q

Tan(α - β) =

A

Tan(α) - Tan(β)/ 1 + Tan(α)Tan(β)

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Q

Sin(2α) =

A

2Sin(α)Cos(α)

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Q

Cos(2α) =

A

Cos^2(α) - Sin^2(α)
2Cos^2(a) -1
1- 2sin^2(a)

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Q

Tan(2α) =

A

2Tan(α)/1 - Tan^2(α)

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Q

Cos^2(α) =

A

1/2 + Cos(2α)/2

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Q

Sin^2(α) =

A

1/2 - Cos(2a)/2

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Q

Sin(α)/Cos(α) =

A

Tan(α)

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Q

Cos(α)/Sin(α) =

A

Cot(α)

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Q

Cos(-α) =

A

Cos(α)

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Q

Sec(-α) =

A

Sec(α)

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Q

Sin(-α) =

A

-Sin(α)

Q

Csc(-α)

A

-Csc(α)

Q

Tan(-α) =

A

-Tan(α)

Q

Cot(-α) =

A

-Cot(α)

Q

Sin^2(α) + Cos^2(α) =

A

1

Q

Sec^2(α) - Tan^2(α) =

A

1

Q

Csc^2(α) - Cot^2(α) =

A

1

Q

sinh(x) =

A

(e^x - e^-x) / 2

Q

cosh(x) =

A

(e^x + e^-x) / 2

Q

tanh(x) =

A

sinh(x) / cosh(x)
or
(e^x - e^-x) / (e^x + e^-x)

Q

csch(x) =

A

1 / sinh(x)
or
2 / (e^x - e^-x)

Q

sech(x) =

A

1 / cosh(x)
or
2 / (e^x + e^-x)

Q

coth(x) =

A

1 / tanh(x)
or
(e^x + e^-x) / (e^x - e^-x)

Q

cosh^2(x) -sinh^2(x) =

A

1

Q

sinh(2x) =

A

2cosh(x)sinh(x)
or
(e^2x - e^-2x) / 2

Q

cosh(2x) =

A

cosh^2(x) + sinhh^2(x)
or
(e^2x + e^-2x) / 2

Q

cosh^2(x) =

A

(cosh(2x) + 1) / 2

Q

cosh(-x) =

A

cosh(x)

Q

sinh(-x) =

A

-sinh(x)

Q

tanh^2(x) + sech^2(x) =

A

1

Q

coth^2(x) - csch^2(x) =

A

1