Trig Identities Flashcards

1
Q

sin2(x) double angle

A

2sin(x)cos(x)

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2
Q

tan2(x) double angle

A

(2tan(x))/(1-tan^2(x))

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3
Q

cos2(x) double angle

A

cos^(x)-sin^2(x) = 2cos^2(x)-1 = 1-2sin^2(x)

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4
Q

sin^2(x) half angle

A

(1-cos2(x))

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5
Q

cos^2(x) half angle

A

(1+cos2(x))/2

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6
Q

tan^2(x) half angle

A

(1-cos(x))/sin(x) = sin(x)/(1+cos(x))

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7
Q

sin(x)

A

opp/hyp

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8
Q

cos(x)

A

adj/hyp

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9
Q

tan(x)

A

opp/adj = sin(x)/cos(x)

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10
Q

csc(x)

A

hyp/opp = 1/sin(x)

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11
Q

sec(x)

A

hyp/adj = 1/cos(x)

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12
Q

cot(x)

A

adj/opp = cos(x)/sin(x) = 1/tan(x)

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13
Q

sin(-x)

A

-sin(x) odd

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14
Q

cos(-x)

A

cos(x) even

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15
Q

tan(-x)

A

-tan(x) odd

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16
Q

sec(-x)

A

sec(x) even

17
Q

csc(-x)

A

-csc(x) odd

18
Q

cot(-x)

A

-cot(x) odd

19
Q

sin^2(x) +cos^2(x)

A

1

20
Q

tan^2(x)

A

sec^2(x) -1

21
Q

sec^2(x)

A

tan^2+1

22
Q

cot^2(x)

A

csc^2-1

23
Q

csc^2(x)

A

cot^2+1

24
Q

sin^2(x)

A

1-cos^2(x)

25
Q

cos^2(x)

A

1-sin^2(x)