Trigonometric Identities Flashcards

1
Q

How to convert degrees to radians…

A
  • (πrad/180º)
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2
Q

How to convert radians to degrees…

A
  • (180º/πrad)
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3
Q

Reciprocal: sinθ=

A

1/cscθ

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4
Q

Reciprocal: cosθ=

A

1/secθ

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5
Q

Reciprocal: tanθ=

A

1/cotθ

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6
Q

Reciprocal: cscθ=

A

1/sinθ

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7
Q

Reciprocal: secθ=

A

1/cosθ

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8
Q

Reciprocal: cotθ=

A

1/tanθ

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9
Q

Pythagorean theorem

A
  1. (sinθ)^2 + (cosθ)^2 = 1
  2. 1 + (tanθ)^2 = (secθ)^2
  3. 1 + (cotθ)^2 = (cscθ)^2
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10
Q

Arc length

A

s=rθ (where θ is in radians only)

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11
Q

Sector area

A

A=(1/2)(r^2)(θ) (where θ is in radians only)

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12
Q

Cofunction of sin(90º-θ)

A

cosθ

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13
Q

Cofunction of cos(90º-θ)

A

sinθ

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14
Q

Cofunction of tan(90º-θ)

A

cotθ

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15
Q

Cofunction of cot(90º-θ)

A

tanθ

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16
Q

Cofunction of sec(90º-θ)

A

cscθ

17
Q

Cofunction of csc(90º-θ)

A

secθ

18
Q

Quotient property of tangent

A

tanθ = sinθ/cosθ

19
Q

Quotient property of cotangent

A

cotθ = cosθ/sinθ