Fórmulas Trigonométricas

Question 1

Sen(A+B)

Answer 1

SenACosB + SenBCosA

Question 2

Sen(A-B)

Answer 2

SenACosB - SenBCosA

Question 3

Cos(A+B)

Answer 3

CosACosB - SenASenB

Question 4

Cos(A-B)

Answer 4

CosACosB + SenASenB

Question 5

Tan(A+B)

Answer 5

(TgA + TgB) / (1 - TgA*TgB)

Question 6

Tan(A-B)

Answer 6

(TgA - TgB) / (1 + TgA*TgB)

Question 7

Ctg(A+B)

Answer 7

(CtgA*CtgB - 1) / (CtgB + Ctg A)

Question 8

Ctg(A-B)

Answer 8

(CtA*CtgB + 1) / (CtgB - CtgA)

Question 9

Sen2x

Answer 9

2Senx*Cosx

Question 10

Cos2x (tres respustas)

Answer 10

(Cosx)^2 - (Senx)^2
2(Cosx)^2 - 1
1 - 2(Senx)^2

Question 11

Tan2x

Answer 11

(2Tgx) / [1 - (Tgx)^2]

Question 12

Ctg2x

Answer 12

[(Ctgx)^2 - 1] / (2Ctgx)

Question 13

Sen(x/2)

Answer 13

,/[(1 - Cosx) / 2]

Question 14

Cos(x/2)

Answer 14

,/[1 + Cosx) / 2]

Question 15

Tg(x/2) (tres respuestas)

Answer 15

,/[(1 - Cosx) / (1 + Cosx)]
(1 - Cosx) / Senx
Senx / (1 + Cosx)

Question 16

Ctg(x/2) (tres respuestas)

Answer 16

,/[(1 + Cosx) / (1 - Cosx)]
Senx / (1 - Cosx)
(1 + Cosx) / Senx

Question 17

SenA + SenB

Answer 17

2{Sen[1/2(A+B)] * Cos[1/2(A-B)]}

Question 18

SenA - SenB

Answer 18

2{Cos[1/2(A+B)] * Sen[1/2(A-B)]}

Question 19

Cos A + CosB

Answer 19

2{Cos[1/2(A+B)] * Cos[1/2(A-B)]}

Question 20

CosA - CosB

Answer 20

2{Sen[1/2(A+B)] * Sen[1/2(A-B)]}