Trigonometric Identities Flashcards

1
Q

Sin^2 x + cos^2 x =

A

1

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2
Q

Sin^2x=

A

1-cos^2 x

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3
Q

cos^2 x =

A

1 - sin^2 x

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4
Q

tan^2 x =

A

sec^2 x - 1

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5
Q

sec^2 x =

A

tan^2 x +1

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6
Q

cot^2 x =

A

csc^2 x -1

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7
Q

csc^2 x =

A

cot^2 x + 1

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8
Q

sin(α±β)=

A

sin(α)cosβ ± cos(α)sinβ

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9
Q

cos(α±β)=

A

cos(α)cos β∓ sin(α)sinβ

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10
Q

tan (α±β)=

A

(1∓ tan α tan β)

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11
Q

sin2θ=

A

2sinθ cosθ

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12
Q

cos 2θ=

A

cos^2θ - sin^2θ

and

2cos^2θ - 1

and

1 - 2sin^2θ

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13
Q

tan2θ=

A

(1 - tan^2 θ)

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14
Q

cos θ/2=

A

±√(1 + cosθ / 2)

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15
Q

sin θ/2=

A

±√(1 - cosθ / 2)

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16
Q

tan θ/2=

A

1 + cosθ

and

sinθ