Formulario 2 - Trigonometria

8/18/2019 Formulario 2 - Trigonometria

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Trigonometría

T                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    E                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    M                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    A                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    

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                       C                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           i                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     

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                          c                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         a                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               

8/18/2019 Formulario 2 - Trigonometria

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Trigonometría

TEMA 8Idemtidades Trigonométricas

8/18/2019 Formulario 2 - Trigonometria

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TEMA 10

Sen(x y) SenxCosy CosxSeny

Cos(x y) CosxCosy SenxSeny

Tanx TanyTan(x y)1 TanxTany

Si x+ y+z = (2n-1) ; n Z2

TanxTany+TanxTanz+TanyTanz=1

Cotx+Coty+Cotz=CotzCotyCotz

Si x+y+z = n ; n Z

CotxCoty+CotxCotz+CotyCotz=1

Tanx Tany Tanz TanxTanyTanz

4

TEMA 9

 Ángulos Compuestos

ctg cos ctg2

Seno del doble

sen2 2sen cos

2sen 2 4 sen2 cos

Coseno del do ble2 2cos 2 cos sen

2cos 2 2 cos 1

2cos 2 1 2 sen

Tangente del doble:

2

2 tgsen2

1 tg

2

21 tgcos 21 tg

Seno de la mitad

1sen (1 cos )

2 2

IDENTIDADES DE ÁNGULOSMÚLTIPLES

Coseno de la mit as

1cos (1 cos )

2 2

Fórmula raciona li zada Tangente de l a m i tad Fórmula para

degradar 

Seno t r iple

Sen3x = 3senx – 4sen2x

Sen3x = senx(2cos2x + 1)

Sen3x= 4senxsenx

(60º– x)sen(60º+x)

Coseno del tr iple

Cos3x = 4cos3x – 3cosx

Cos3x = cosx(2cos2x – 1)

Cos3x = 4cosxcos

(60°–x)cos(60°+x)

Tangente del t r iple

tg3x=tgxtg

(60°– x)tg(60°+x)

3

2

3tg x tg xtg3x

1 3 tg x

tg csc ctg2

1 costg

2 1 cos

  21 cos 2 2 cos

21 cos 2 2 sen

2

2 tgtg2

1 tg

TEMA 10

Identidades de Ángulos Multiples

Trigonometría