Geometrie ex 6 Flashcards

1
Q

sin(x+y)

A

sinx cosy + siny cosx

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2
Q

sin(x-y)

A

sinx cosy - siny cosx

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3
Q

cos(x+y)

A

cosxcosy-sinxsiny

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4
Q

cos(x-y)

A

cosxcosy+sinxsiny

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5
Q

sinp+sinq

A

2sin(p+q)/2*cos(p-q)/2

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6
Q

sin pi/6

A

1/2

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7
Q

cos pi/6

A

rad3/2

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8
Q

tg pi/6

A

rad3/3

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9
Q

ctg pi/6

A

rad3

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10
Q

sin pi/4

A

rad2/2

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11
Q

Tg pi/4

A

1

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12
Q

tgx

A

sinx/cosx

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13
Q

ctgx

A

cosx/sinx

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14
Q

sin2x

A

2sinxcosx

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15
Q

cos2x

A

cos^2x-sin^2x

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16
Q

sin^2x+cos^2x

A

1

17
Q

teorema sinusului

A

AB/sinC=BC/sinA=AC/sinB=2R

18
Q

teorema cosinusului

A

cosA= (AB^2 +AC^2 - BC^2)
- - - - - - - - - - - - - - - - -
2AB*AC

19
Q

Aria unui triunghi cu sinus

A

AB * AC * sinA/2

20
Q

Aria cu R

A

AB* AC *BC/4R

21
Q

Teorema inaltimii

A

AD=ABAC/BC
AD^2=BD
DC

22
Q

Teorema catetei

A

AB^2=BD*BC

23
Q

Aria triunghi dr

A

Ab*Ac/2