Download - Graficas Trigonométricas I Parte
![Page 1: Graficas Trigonométricas I Parte](https://reader033.vdocumento.com/reader033/viewer/2022050805/55c15f4abb61ebc1308b4698/html5/thumbnails/1.jpg)
ASIGNATURA:
GEOMETRÍA Y TRIGONOMETRÍA
PROFESOR:
ING. DIEGO CUJI.
TEMA:
GRAFICAS TRIGONOMÉTRICAS I PARTE.
ALUMNO:
JULIO CÁRDENAS
CURSO:
SEGUNDO “C2” DE BACHILLERATO.
CUENCA-ECUADOR
2012-2013
PARTE 1: FUNCIONES SENCILLAS
Todas estas gráficas, visualizarlas: Eje X: [−2π ,2π ]Eje Y: [−2,2]y=sin (x ) Dom=(−∞ ,+∞ ) Ran=[−1 ,+1]
UNIDAD EDUCATI
VA TÉCNICO SALESIA
![Page 2: Graficas Trigonométricas I Parte](https://reader033.vdocumento.com/reader033/viewer/2022050805/55c15f4abb61ebc1308b4698/html5/thumbnails/2.jpg)
y=cos ( x) Dom=(−∞ ,+∞ ) Ran=[−1 ,+1]
y=sin (−x ) Dom=(−∞ ,+∞ ) Ran=[−1 ,+1]
![Page 3: Graficas Trigonométricas I Parte](https://reader033.vdocumento.com/reader033/viewer/2022050805/55c15f4abb61ebc1308b4698/html5/thumbnails/3.jpg)
y=−sin (x ) Dom=(−∞ ,+∞ ) Ran=[−1 ,+1]
y=cos −(x ) Dom=(−∞ ,+∞ ) Ran=[−1 ,+1]
![Page 4: Graficas Trigonométricas I Parte](https://reader033.vdocumento.com/reader033/viewer/2022050805/55c15f4abb61ebc1308b4698/html5/thumbnails/4.jpg)
y=sin(x+ π2 ) Dom=(−∞ ,+∞ ) Ran=[−1 ,+1]
![Page 5: Graficas Trigonométricas I Parte](https://reader033.vdocumento.com/reader033/viewer/2022050805/55c15f4abb61ebc1308b4698/html5/thumbnails/5.jpg)
y=cos(x−π2 ) Dom=(−∞ ,+∞ ) Ran=[−1 ,+1]
y=tan ( x ) Dom=R−{π2 + nπn∈Z } Ran=(−∞,+∞)
![Page 6: Graficas Trigonométricas I Parte](https://reader033.vdocumento.com/reader033/viewer/2022050805/55c15f4abb61ebc1308b4698/html5/thumbnails/6.jpg)
y=sec ( x ) Dom=R−{…,− π2 , π2 , 3 π2 ,…} Ran=(−∞,−1 ]U ¿
y=csc (x ) Dom=R− {…,−π ,0 , π ,…} Ran=(−∞,−1 ]U ¿
PARTE 2: FUNCIONES COMPLEJASTodas estas gráficas, visualizarlas: Eje X: [−2π ,2π ]
![Page 7: Graficas Trigonométricas I Parte](https://reader033.vdocumento.com/reader033/viewer/2022050805/55c15f4abb61ebc1308b4698/html5/thumbnails/7.jpg)
Eje Y: [−8,8]
y=1 Dom=(−∞,+∞) Ran=[1]
y=sec2 ( x ) Dom=R−{…,− π2 , π2 , 3 π2 ,…} Ran=¿
![Page 8: Graficas Trigonométricas I Parte](https://reader033.vdocumento.com/reader033/viewer/2022050805/55c15f4abb61ebc1308b4698/html5/thumbnails/8.jpg)
y=csc2 ( x ) Dom=R− {…,−π ,0 , π ,…} Ran=¿
y=1+ tan2 ( x ) Dom=R−{π2 + nπn∈Z } Ran=¿
![Page 9: Graficas Trigonométricas I Parte](https://reader033.vdocumento.com/reader033/viewer/2022050805/55c15f4abb61ebc1308b4698/html5/thumbnails/9.jpg)
y=1+csc2 ( x ) Dom=R− {…,−π ,0 , π ,…} Ran=¿
y=sin2 ( x )+cos2 ( x ) Dom=(−∞,+∞) Ran=[1]
![Page 10: Graficas Trigonométricas I Parte](https://reader033.vdocumento.com/reader033/viewer/2022050805/55c15f4abb61ebc1308b4698/html5/thumbnails/10.jpg)
y=sin ( x )cos (x )
Dom=R−{π2 + nπn∈Z } Ran=(−∞ ,+∞)
y=sin (x2) Dom=(−∞,+∞) Ran=[−1 ,+1]
![Page 11: Graficas Trigonométricas I Parte](https://reader033.vdocumento.com/reader033/viewer/2022050805/55c15f4abb61ebc1308b4698/html5/thumbnails/11.jpg)
y=cos ( x2) Dom=(−∞,+∞) Ran=[−1 ,+1]
Todas estas gráficas, visualizarlas: Eje X: [−2π ,2π ]Eje Y: [−2,2]y=sin (x )cos (10 x ) Dom=(−∞,+∞) Ran=[−1 ,+1]
![Page 12: Graficas Trigonométricas I Parte](https://reader033.vdocumento.com/reader033/viewer/2022050805/55c15f4abb61ebc1308b4698/html5/thumbnails/12.jpg)
y=sin (x )cos (20 x ) Dom=(−∞,+∞) Ran=[−1 ,+1]
y=sin (x )cos (50 x ) Dom=(−∞,+∞) Ran=[−1 ,+1]
![Page 13: Graficas Trigonométricas I Parte](https://reader033.vdocumento.com/reader033/viewer/2022050805/55c15f4abb61ebc1308b4698/html5/thumbnails/13.jpg)
y=sin (x )cos (60 x ) Dom=(−∞,+∞) Ran=[−1 ,+1]
y=sin (x ) cos (100 x ) Dom=(−∞ ,+∞ ) Ran=[−1 ,+1 ]