Trig Identities Flashcards

1
Q

cos^2(x)=

A

1-sin^2(x)
Or
(1+cos(2x))/2

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2
Q

Cos(x+y)=

A

Cos(x)cos(y)-sin(x)sin(y)

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3
Q

Cos(2x)

A

Cos^2(x)-sin^2(x)

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4
Q

Sin(2x)

A

2sin(x)cos(x)

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5
Q

Integral of sin(x)

A

-cos(x)

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6
Q

Integral of cos(x)

A

Sin(x)

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7
Q

Integral of tan(x)

A

ln|sec(x)|

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8
Q

Integral of sec

A

ln|sec(x)+tan(x)|

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9
Q

Integral of cot(x)

A

ln|sin(x)|

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10
Q

Integral of csc(x)

A

-ln|csc(x)+cot(x)|

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11
Q

sec^2(x)

A

tan^2(x)+1

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12
Q

tan^2(x)

A

sec^2(x)-1

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13
Q

csc^2(x)

A

1+cot^2(x)

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14
Q

cot^2(x)

A

csc^2(x)-1

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15
Q

cos^-1(x)

A

sec(x)

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16
Q

sin^-1(x)

A

csc(x)

17
Q

Sin^2(x)=

A

1-cos^2(x)
Or
(1-cos(2x))/2

18
Q

Integral of sec^2(x)

A

tan(x)

19
Q

Integral of tan^2(x)

A

tan(x)-x

20
Q

a^2-a^2*sin^2(x)=

A

a^2*cos^2(x)

21
Q

a^2+ a^2tan^2(x)=

A

a^2*sec^2(x)

22
Q

a^2*sec^2(x)-a^2=

A

a^2*tan^2(x)

23
Q

Tan

A

Opp/adj

24
Q

Cos

A

Adj/hyp

25
Q

Sin

A

Opp/hyp

26
Q

1/sin^2(x)

A

csc^2(x)

27
Q

Integral of csc^2(x)

A

-cot(x)+C

28
Q

1/sec^2(x)

A

cos^2(x)

29
Q

Sin(2x)/2

A

sin(x)cos(x)