Page 13 - trigonometria

Trigonometría 5° UNI

12
Semana

Propiedades:
a b
I. Secx + Tgx =  Secx − Tgx =
b a
m n
II. Cscx + Ctgx =  Cscx − Ctgx =
n m
III. Si:
+
2
aSenx bCosx = a + b 2

a b
 Senx =  Cosx =
a + 2 b 2 a + 2 b 2

IDENTIDADES AUXILIARES

4
4
2
2
1. Sen x + Cos x = 1 - 2Sen xCos x

6
2
2
2. Sen x + Cos x = 1 - 3Sen xCos x
6

3. Tgx + Ctgx = Secx Cscx

2
2
4. Sec x + Csc x = Sec x Csc x
2
2

5. (1 + Senx + Cosx) = 2(1 + Senx) (1 + Cosx)
2

Compendio -82-