Trig Identities Flashcards

1
Q

(Half angle) : Sin (θ/2)=

A

±√(1 - cos θ) / 2

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2
Q

(Half angle) : Cos (θ/2)=

A

±√[(1 + cos θ) / 2

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3
Q

(Half angle) : Tan (θ/2)=

A

±√1 - cos θ / 1 + cos θ

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4
Q

(Double angle): Sin(2θ) =

A

2sinθcosθ

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5
Q

(Double angle): Cos(2θ) =

A

cos2θ - sin2θ

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6
Q

(Double angle): Tan(2θ) =

A

2tanθ / (1 - tan2θ).

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7
Q

(Reciprocal): cscθ =

A

1/sinθ

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8
Q

(Reciprocal): secθ =

A

1/cosθ

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9
Q

(Reciprocal): cotθ =

A

1/tanθ

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10
Q

(Quotient):

A
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11
Q

(Quotient):

A
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12
Q

(Pythagorean)

A
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13
Q

(Pythagorean)

A
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14
Q

(Pythagorean)

A
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15
Q

(Sum & Difference)

A
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16
Q

(Sum & Difference)

17
Q

(Sum & Difference)