Identities Flashcards

1
Q

even functions

A

cosine
secant

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2
Q

odd functions

A

sine
tangent
cosecant
cotangent

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3
Q

pythagorean identity relating sin and cos

A

1 = sin^2𝜃 + cos^2𝜃

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4
Q

pythagorean identity relating sec and tan

A

1 = sec^2𝜃 - tan^2𝜃

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5
Q

pythagorean identity relating csc and cot

A

1 = csc^2𝜃 - cot^2𝜃

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6
Q

sin circle identity

A

sin𝜃 = y/r

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7
Q

sin reciprocal identity

A

sin𝜃 = 1/csc𝜃

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8
Q

sin quotient identity

A

sin𝜃 = tan𝜃cos𝜃

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9
Q

sin cofunction identity

A

sin𝜃 = cos(π/2 - 𝜃)

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10
Q

cos circle identity

A

cos𝜃 = x/r

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11
Q

cos reciprocal identity

A

cos𝜃 = 1/sec𝜃

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12
Q

cos quotient identity

A

cos𝜃 = sin𝜃/tan𝜃

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13
Q

cos cofunction identity

A

cos𝜃 = sin(π/2 - 𝜃)

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14
Q

sec circle identity

A

sec𝜃 = r/x

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15
Q

sec reciprocal identity

A

sec𝜃 = 1/cos𝜃

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16
Q

sec quotient identity

A

sec𝜃 = tan𝜃/sin𝜃

17
Q

sec cofunction identity

A

sec𝜃 = csc(π/2 - 𝜃)

18
Q

csc circle identity

A

csc𝜃 = r/y

19
Q

csc reciprocal identity

A

csc𝜃 = 1/sin𝜃

20
Q

csc quotient identity

A

csc𝜃 = 1/tan𝜃cos𝜃

21
Q

csc cofunction identity

A

csc𝜃 = sec(π/2 - 𝜃)

22
Q

tan circle identity

A

tan𝜃 = y/x

23
Q

tan reciprocal identity

A

tan𝜃 = 1/cot𝜃

24
Q

tan quotient identity

A

tan𝜃 = sin𝜃/cos𝜃

25
Q

tan cofunction identity

A

tan𝜃 = cot(π/2 - 𝜃)

26
Q

cot circle identity

A

x/y

27
Q

cot reciprocal identity

A

cot𝜃 = 1/tan𝜃

28
Q

cot quotient identity

A

cot𝜃 = cos𝜃/sin𝜃

29
Q

cot cofunction identity

A

cot𝜃 = tan(π/2 - 𝜃)

30
Q

tan𝜃cos𝜃 = 1/—

A

tan𝜃cos𝜃 = 1/csc𝜃

31
Q

1/sec𝜃 = —/—

A

1/sec𝜃 = sin𝜃/tan𝜃

32
Q

1/cos𝜃 = —/—

A

1/cos𝜃 = tan𝜃/sin𝜃

33
Q

1/sin𝜃 = —/—

A

1/sin𝜃 = 1/tan𝜃cos𝜃

34
Q

1/cot𝜃 = —/—

A

1/cot𝜃 = sin𝜃/cos𝜃

35
Q

1/tan𝜃 = —/—

A

1/tan𝜃 = cos𝜃/sin𝜃