Identidades Flashcards

1
Q

Cos^2 (x) + sin^2 (x) =

A

1

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2
Q

Sec^2 (x) - tan^2 (x) =

A

1

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3
Q

Csc^2 (x) - cot^2 (x) =

A

1

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4
Q

1

A

Cos^2 (x) + sin^2 (x) = 1

Sec^2 (x) - tan^2 (x) = 1

Csc^2 (x) - cot^2 (x) = 1

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5
Q

Sin (x) =

A

+/- Raiz (1-cos^2 (x) )

1/ csc (x)

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6
Q

+/- Raiz (1-cos^2 (x) ) =

A

Sin (x)

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7
Q

Cos ( x) =

A

+/- raiz ( 1- sin^2 (x))

1/ sec x

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8
Q

+/- raiz ( 1- sin^2 (x))=

A

Cos (x)

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9
Q

Sin (x +/- y ) =

A

Sin x cos y +/- cos x sin y

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10
Q

Sin x cos y +/- cos x sin y=

A

Sin (x +/- y )

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11
Q

Cos ( x +/- y ) =

A

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

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12
Q

Cos (x) cos (y) -/+ sin (x) sin (y)=

A

Cos ( x +/- y )

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13
Q

Tan ( x +/- y ) =

A

= (tan (x) +/- tan (y) ) / ( 1 -/+ tan (x) tan (y)

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14
Q

(tan (x) +/- tan (y) ) / ( 1 -/+ tan (x) tan (y) =

A

Tan ( x +/- y )

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15
Q

Csc ( x +/- y ) =

A

1/ (sin (x +/- y )

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16
Q

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

A

Csc ( x +/- y )

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17
Q

Sec (x +/- y ) =

A

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

18
Q

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

A

Sec (x +/- y )

19
Q

Cot ( x +/- y ) =

A

= (cot x cot y - /+ 1 ) / ( cot y + /- cot x )

20
Q

(cot x cot y - /+ 1 ) / ( cot y + /- cot x ) =

A

Cot ( x +/- y )

21
Q

Sin 2x

A

Sin 2x

= 2 sin x cos x

22
Q

= 2 sin x cos x

A

Sin 2x

23
Q

Cos 2x

A
Cos 2x 
= 1- tan^2 x / 1 + tan^2 x 
= cos^2 x - sin^2 x
= 2 cos^2 x - 1 
= 1 - 2 sin^2 x
24
Q

= 1- tan^2 x / 1 + tan^2 x
= cos^2 x - sin^2 x
= 2 cos^2 x - 1
= 1 - 2 sin^2 x

A

Cos 2x

25
Q

Tan 2x

A

Tan 2x

= 2 tan x / 1- tan^2 x

26
Q

2 tan x / 1- tan^2 x =

A

Tan 2x

27
Q

Cot 2x

A

Cot 2x

=( cot^2 x - 1 ) / 2 cot x

28
Q

( cot^2 x - 1 ) / 2 cot x=

A

Cot 2x

29
Q

Sin x/ 2 =

A

Sin x/ 2 = +/- raiz ( 1- cos x / 2 )

30
Q

+/- raiz ( 1- cos x / 2 ) =

A

Sin x/ 2

31
Q

+/- raiz ( 1 + cos x / 2 ) =

A

Cos x/2 =

+/- raiz ( 1 + cos x / 2 )

32
Q

+/- raiz ( 1 + cos x / 2 ) =

A

Cos x/2 =

33
Q

Tan x/2

A

Tan x/2
= sin x / 1 + cos x
= 1- cos x / sin x

34
Q

= 1- cos x / sin x

= sin x / 1 + cos x

A

Tan x/2

35
Q

Sin x =

A

1 / csc x

36
Q

Cos x =

A

1 / sec x

37
Q

Tan x =

A

1 / cot x

Sen x / cos x

38
Q

Cot x =

A

1 / tan x

39
Q

Sec x =

A

1 / cos x

40
Q

Csc x =

A

1 / sin x