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

17
Q

sec (𝜋/2 - θ)
Co-function Identity

18
Q

sin (-θ)
Even-Odd Identity

19
Q

cos (-θ)
Even-Odd Identity

20
Q

tan (-θ)
Even-Odd Identity

21
Q

csc (-θ)
Even-Odd Identity

22
Q

sec (-θ)
Even-Odd Identity

23
Q

cot (-θ)
Even-Odd Identity

24
Q

sin (θ/2)
Half-Angle Formula

25
cos (θ/2) Half-Angle Formula
26
tan (θ/2) Half-Angle Formula
27
tan (θ/2) Half-Angle Formula
csc θ - cot θ
28
tan (θ/2) Half-Angle Formula
29
sin^2 (θ/2) Half-Angle Formula
(1 - cos θ) / 2
30
cos^2 (θ/2) Half-Angle Formula
(1 + cos θ) / 2
31
Law of Sines
(a/ sin A) = (b/ sin B) = (c / sin C)
32
c^2 Law of Cosines
c^2 = a^2 + b^2 -2ab cosC
33
b^2 Law of Cosines
b^2 = b^2 + c^2 -2ac cosB
34
a^2 Law of Cosines
a^2 = b^2 + c^2 -2bc cosA