Trig Identities Flashcards

Memorize each

1
Q

sinΘ

A

1/cscΘ

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2
Q

cosΘ

A

1/secΘ

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3
Q

tanΘ

A

1/cotΘ or sinΘ/cosΘ

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4
Q

cscΘ

A

1/sinΘ

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5
Q

secΘ

A

1/cosΘ

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6
Q

cotΘ

A

1/tanΘ or cosΘ/sinΘ

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7
Q

sin(-Θ)

A

-sinΘ

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8
Q

cos(-Θ)

A

cosΘ

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9
Q

tan(-Θ)

A

-tanΘ

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10
Q

csc(-Θ)

A

-cscΘ

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11
Q

sec(-Θ)

A

secΘ

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12
Q

cot(-Θ)

A

-cotΘ

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13
Q

sin^2Θ + cos^2Θ =

A

1

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14
Q

1 + tan^2Θ =

A

sec^2Θ

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15
Q

1 + cot^2Θ =

A

csc^2Θ

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16
Q

cos2Θ

A

cos^2Θ-sinΘ^2
2cos^2Θ-1
1-2sin^2

17
Q

tan2Θ

A

(2tanΘ)/(1-tan^2Θ)

18
Q

sin2Θ

A

2sinΘcosΘ

19
Q

sin^2Θ

A

(1-cos^2Θ)/2

20
Q

sin(Θ/2)

A

+/- sqrt((1-cosΘ)/2)

21
Q

cos^2Θ

A

(1+cos2Θ)/2

22
Q

cos(Θ/2)

A

+/-sqrt((1+cosΘ)/2)

23
Q

tan(Θ/2)

A

+/-sqrt((1-cosΘ)/(1+cosΘ))