Identidades

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INSTITUCION EDUCATIVA AQUILINO BEDOYA Aprobado por Res. No. 672 de noviembre 16 de 1993 TALLER DE TRIGONOMETRIA GRADO DÉCIMO Resuelve el taller en hojas, recuerda que debe entregarse el martes 11 de agosto a las 12:15 pm. ¡UNICAMENTE! IDENTIDADES

Reemplaza a un lado de la ecuación para demostrar cada igualdad, aplica las identidades fundamentales

1. cos

tg = sen

2. sen

sec = tg

3. sen

cotg = cos

4. sen

tg + cos = sec

5. cosec

- sen = cotg cos

6. (sen

+ cos )2 + (sen - cos )2 = 2

7. (sen

+ cosec )2 = sen2 + cotg2 + 3

8. sen α 1 + cos α + = 2 cos ecα 1 + cos α sen α 9. (sec

+ cos ) (sec - cos ) = tg2 + sen2

10.(1+ tg2 ) cos2

=1

11.sen2

+ sen2 tg2 = tg2

12.sec2

+ cosec2 = sec2

13.tg

cosec2

+ cotg = sec cosec

14.(1 + cotg2 ) sen2

=1

15. sen α 1 + cos α + = 2 cos ecα 1 + cos α sen α

16. cot gα +

sen α = cos ecα 1 + cos α

¡La felicidad de la vida es sentirse amado!

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