Identities Flashcards by Samantha Boyer

Q

even functions

A

cosine
secant

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Q

odd functions

A

sine
tangent
cosecant
cotangent

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Q

pythagorean identity relating sin and cos

A

1 = sin^2𝜃 + cos^2𝜃

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Q

pythagorean identity relating sec and tan

A

1 = sec^2𝜃 - tan^2𝜃

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Q

pythagorean identity relating csc and cot

A

1 = csc^2𝜃 - cot^2𝜃

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Q

sin circle identity

A

sin𝜃 = y/r

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Q

sin reciprocal identity

A

sin𝜃 = 1/csc𝜃

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Q

sin quotient identity

A

sin𝜃 = tan𝜃cos𝜃

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Q

sin cofunction identity

A

sin𝜃 = cos(π/2 - 𝜃)

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Q

cos circle identity

A

cos𝜃 = x/r

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Q

cos reciprocal identity

A

cos𝜃 = 1/sec𝜃

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Q

cos quotient identity

A

cos𝜃 = sin𝜃/tan𝜃

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Q

cos cofunction identity

A

cos𝜃 = sin(π/2 - 𝜃)

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Q

sec circle identity

A

sec𝜃 = r/x

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Q

sec reciprocal identity

A

sec𝜃 = 1/cos𝜃

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Q

sec quotient identity

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A

sec𝜃 = tan𝜃/sin𝜃

Q

sec cofunction identity

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A

sec𝜃 = csc(π/2 - 𝜃)

Q

csc circle identity

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A

csc𝜃 = r/y

Q

csc reciprocal identity

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A

csc𝜃 = 1/sin𝜃

Q

csc quotient identity

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A

csc𝜃 = 1/tan𝜃cos𝜃

Q

csc cofunction identity

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A

csc𝜃 = sec(π/2 - 𝜃)

Q

tan circle identity

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A

tan𝜃 = y/x

Q

tan reciprocal identity

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A

tan𝜃 = 1/cot𝜃

Q

tan quotient identity

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A

tan𝜃 = sin𝜃/cos𝜃

tan cofunction identity

tan𝜃 = cot(π/2 - 𝜃)

cot circle identity

x/y

cot reciprocal identity

cot𝜃 = 1/tan𝜃

cot quotient identity

cot𝜃 = cos𝜃/sin𝜃

cot cofunction identity

cot𝜃 = tan(π/2 - 𝜃)

tan𝜃cos𝜃 = 1/---

tan𝜃cos𝜃 = 1/csc𝜃

1/sec𝜃 = ---/---

1/sec𝜃 = sin𝜃/tan𝜃

1/cos𝜃 = ---/---

1/cos𝜃 = tan𝜃/sin𝜃

1/sin𝜃 = ---/---

1/sin𝜃 = 1/tan𝜃cos𝜃

1/cot𝜃 = ---/---

1/cot𝜃 = sin𝜃/cos𝜃

1/tan𝜃 = ---/---

1/tan𝜃 = cos𝜃/sin𝜃