coordenadas polares
TRANSCRIPT
![Page 1: Coordenadas polares](https://reader036.vdocumento.com/reader036/viewer/2022071721/55b1dd55bb61ebd8138b4692/html5/thumbnails/1.jpg)
Coordenadas PolaresCoordenadas Polares
![Page 2: Coordenadas polares](https://reader036.vdocumento.com/reader036/viewer/2022071721/55b1dd55bb61ebd8138b4692/html5/thumbnails/2.jpg)
Coordenadas PolaresCoordenadas Polares
x
y
x
y
(x, y)
x
y
x
y
(x, y)
r
senry
rx
cos
x
yarctg
yxr
22
![Page 3: Coordenadas polares](https://reader036.vdocumento.com/reader036/viewer/2022071721/55b1dd55bb61ebd8138b4692/html5/thumbnails/3.jpg)
Coordenadas polaresCoordenadas polares
![Page 4: Coordenadas polares](https://reader036.vdocumento.com/reader036/viewer/2022071721/55b1dd55bb61ebd8138b4692/html5/thumbnails/4.jpg)
Una circunferenciaUna circunferencia
x
yr = 3; 0.000000 <= t <= 6.2831903r
![Page 5: Coordenadas polares](https://reader036.vdocumento.com/reader036/viewer/2022071721/55b1dd55bb61ebd8138b4692/html5/thumbnails/5.jpg)
Una rectaUna recta
x
y
6
![Page 6: Coordenadas polares](https://reader036.vdocumento.com/reader036/viewer/2022071721/55b1dd55bb61ebd8138b4692/html5/thumbnails/6.jpg)
x
yr = 4sin(t); 0.000000 <= t <= 6.283190
Circunferencia dezplazadaCircunferencia dezplazadatsenr 4
![Page 7: Coordenadas polares](https://reader036.vdocumento.com/reader036/viewer/2022071721/55b1dd55bb61ebd8138b4692/html5/thumbnails/7.jpg)
Circunferencia dezplazadaCircunferencia dezplazada
x
yr = 4cos(t); 0.000000 <= t <= 6.283190tr cos4
![Page 8: Coordenadas polares](https://reader036.vdocumento.com/reader036/viewer/2022071721/55b1dd55bb61ebd8138b4692/html5/thumbnails/8.jpg)
Una rosaUna rosar = 3cos(2t); 0.000000 <= t <= 6.283190tr 2cos3
![Page 9: Coordenadas polares](https://reader036.vdocumento.com/reader036/viewer/2022071721/55b1dd55bb61ebd8138b4692/html5/thumbnails/9.jpg)
Otra RosaOtra Rosa
tr 4cos3
![Page 10: Coordenadas polares](https://reader036.vdocumento.com/reader036/viewer/2022071721/55b1dd55bb61ebd8138b4692/html5/thumbnails/10.jpg)
RosasRosastr 3cos3
![Page 11: Coordenadas polares](https://reader036.vdocumento.com/reader036/viewer/2022071721/55b1dd55bb61ebd8138b4692/html5/thumbnails/11.jpg)
Más rosasMás rosastsenr 33
![Page 12: Coordenadas polares](https://reader036.vdocumento.com/reader036/viewer/2022071721/55b1dd55bb61ebd8138b4692/html5/thumbnails/12.jpg)
CircunferenciasCircunferencias
tr cos4tr cos4
tsenr 4
tsenr 4
![Page 13: Coordenadas polares](https://reader036.vdocumento.com/reader036/viewer/2022071721/55b1dd55bb61ebd8138b4692/html5/thumbnails/13.jpg)
LemniscataLemniscata
tsenr 2322
x
y
![Page 14: Coordenadas polares](https://reader036.vdocumento.com/reader036/viewer/2022071721/55b1dd55bb61ebd8138b4692/html5/thumbnails/14.jpg)
CardiodeCardiodetr 3cos33
![Page 15: Coordenadas polares](https://reader036.vdocumento.com/reader036/viewer/2022071721/55b1dd55bb61ebd8138b4692/html5/thumbnails/15.jpg)
CaracolasCaracolas
0,0
cos
cos
ba
bar
bar
![Page 16: Coordenadas polares](https://reader036.vdocumento.com/reader036/viewer/2022071721/55b1dd55bb61ebd8138b4692/html5/thumbnails/16.jpg)
RosasRosas
n pétalos si n es impar
2n pétalos si n es par
(n>1)
![Page 17: Coordenadas polares](https://reader036.vdocumento.com/reader036/viewer/2022071721/55b1dd55bb61ebd8138b4692/html5/thumbnails/17.jpg)
Circunferencias y Circunferencias y LemniscatasLemniscatas