ident. trig. Flashcards

1
Q

sen² x + cos² x =

A

1

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2
Q

cotg² x + 1 =

A

cossec ² x

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3
Q

tg ² x + 1 =

A

sec² x

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4
Q

sen(π/2 + x) =

A

cos x

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5
Q

sen -x =

A
  • sen x
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6
Q

cos -x

A

cos x

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7
Q

tg -x =

A
  • tg x
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8
Q

cossec -x =

A
  • cossec x
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9
Q

sec -x =

A

sec x

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10
Q

cotg -x =

A
  • tg x
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11
Q

sen(a+b) =

A

sen a . cos x + sen b . cos a

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12
Q

sen(a - b) =

A

sen a . cos b - sen b . cos a

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12
Q

cos(a + b) =

A

cos a . cos b - sen a. sen b

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13
Q

cos(a - b)=

A

cos a . cos b - sen a . sen b

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14
Q

tg(a + b) =

A

tg a + tg b ÷ 1- tg a. tg b

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15
Q

tg(a - b) =

A

tg a - tg b ÷ 1+tg a. tg b

16
Q

sen(π/2 + x) =

17
Q

cos(π/2 - x) =

18
Q

tan (π/2 + x) =

19
Q

csc(π/2 - x) =

20
Q

sec(π/2 - x) =

21
Q

cotg(π/2 - x) =

22
Q

sen 2x =

A
  1. senx . cos x
23
Q

cos 2x =

A

cos² x - sen² x

Ou

2 . cos²x -1

Ou

1 - 2 . sen² x

24
tan 2x =
2 . tan x ÷ 1 - tan² x
25
sen² x =
(1 - cos 2x) ÷ 2
26
cos² x =
(1 + cos 2x) ÷ 2
27
tan ² x =
(1- cos 2x) ÷ (1 + cos 2x
28
tan x/2 =
±√(1 - cos x ÷ 1 + cos x) Ou (1- cos x) ÷ sen x Ou sen x ÷ (1 + cos x)
29
sen x/2 =
±√(1 - cos x ÷ 2)
30
cos x/2 =
±√(1 + cos x ÷ 2)