Trig Identities Flashcards

1
Q

sec θ

A

1/ cos θ

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2
Q

cosec θ

A

1/ sin θ

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3
Q

cot θ

A

cos θ /sinθ

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4
Q

cot^2θ + 1

A

cosec^2θ

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5
Q

1 + tan^2θ

A

sec^2θ

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6
Q

cos(x + y)

A

cos x cos y − sin x sin y

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7
Q

cos(x − y)

A

cos x cos y + sin x sin y

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8
Q

sin(x + y)

A

sin x cos y + cos x sin y

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9
Q

sin(x − y)

A

sin x cos y − cos x sin y

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10
Q

tan(x + y )

A

tan x + tan y/ 1 - tan x tan y

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11
Q

tan(x − y)

A

tan x - tan y/ 1 + tan x tan y

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12
Q

cos (2x)

A

1 - 2 sin^2 x

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13
Q

sin 2x

A

2 sin x cos x

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14
Q

tan 2x

A

2 tan x/ 1 - tan^2 x

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15
Q

cos (x) + cos (y)

A

2cos( x+y/2) cos (x-y/2)

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16
Q

cos (x) -cos y

A

-2sin (x+y/2) sin x-y/2

17
Q

sin x + sin y

A

2 sin (x+y/2) cos (x-y/2)

18
Q

sin x - sin y

A

2 sin (x-y/2) cos (x+y/2)

19
Q

2 cos x cos y

A

cos (x-y) + cos (x+y)

20
Q

2 sin x sin y

A

cos(x − y) − cos(x + y)

21
Q

2 sin x cos y

A

sin(x + y) + sin(x − y)

22
Q

a cos x + b sin x

A

r cos(x − α)

23
Q

a cos x + b sin x

A

rsin(x + β)

24
Q
A