Trig Identities Flashcards

1
Q

tan θ
Quotient Identity

A

sin θ / cos θ

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2
Q

cot θ
Quotient Identity

A

cos θ / sin θ

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3
Q

sec θ
Reciprocal Identity

A

1/cos θ

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4
Q

csc θ
Reciprocal Identity

A

1/sin θ

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5
Q

tan θ cot θ

A

1

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6
Q

sin^2 θ + cos^2 θ
Pythagorean Identity

A

1

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7
Q

sec^2 θ - tan^2 θ
Pythagorean Identity

A

1

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8
Q

csc^2 θ - cot^2 θ
Pythagorean Identity

A

1

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9
Q

1 + tan^2 θ
Pythagorean Identity

A

1/cos^2 θ or sec^2 θ

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10
Q

1 + cot^2 θ
Pythagorean Identity

A

1/sin^2 θ or csc^2 θ

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11
Q

cot θ
Reciprocal Identity

A

1/tan θ

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12
Q

cos (𝜋/2 - θ)
Co-function Identity

A

sin θ

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13
Q

sin (𝜋/2 - θ)
Co-function Identity

A

cos θ

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14
Q

cot (𝜋/2 - θ)
Co-function Identity

A

tan θ

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15
Q

tan (𝜋/2 - θ)
Co-function Identity

A

cot θ

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16
Q

csc (𝜋/2 - θ)
Co-function Identity

A

sec θ

17
Q

sec (𝜋/2 - θ)
Co-function Identity

A

csc θ

18
Q

sin (-θ)
Even-Odd Identity

A
  • sin θ
19
Q

cos (-θ)
Even-Odd Identity

A

cos θ

20
Q

tan (-θ)
Even-Odd Identity

A
  • tan θ
21
Q

csc (-θ)
Even-Odd Identity

A
  • csc θ
22
Q

sec (-θ)
Even-Odd Identity

A

sec θ

23
Q

cot (-θ)
Even-Odd Identity

A
  • cot θ
24
Q

sin (θ/2)
Half-Angle Formula

A
25
Q

cos (θ/2)
Half-Angle Formula

A
26
Q

tan (θ/2)
Half-Angle Formula

A
27
Q

tan (θ/2)
Half-Angle Formula

A

csc θ - cot θ

28
Q

tan (θ/2)
Half-Angle Formula

A
29
Q

sin^2 (θ/2)
Half-Angle Formula

A

(1 - cos θ) / 2

30
Q

cos^2 (θ/2)
Half-Angle Formula

A

(1 + cos θ) / 2

31
Q

Law of Sines

A

(a/ sin A) = (b/ sin B) = (c / sin C)

32
Q

c^2
Law of Cosines

A

c^2 = a^2 + b^2 -2ab cosC

33
Q

b^2
Law of Cosines

A

b^2 = b^2 + c^2 -2ac cosB

34
Q

a^2
Law of Cosines

A

a^2 = b^2 + c^2 -2bc cosA