6.4 Day2 Notes

Bell Work
Convert from polar to rectangular.
(a) (3, 90°)
(b) (5,
3π
)
2
Convert from rectangular to polar.
(c) (-3, 0)
(d) (0, 2)
Equation Conversion
Recall:
x = rcos
y = rsin
r2 = x2 + y2
Example
Convert the polar equation to rectangular form.
(1) r = -2csc
(2) rsec = 3
Example
Convert the polar equation to rectangular form.
(3) r = -4cos
(4) r = 4cos – 4sin
Example
Convert the rectangular equation to polar form.
(1) x = 5
(2) 3x + 4y = 2
Example
Convert the rectangular equation to polar form.
(3) x2 + (y-1)2 = 1
(4) (x-1)2 + (y+4)2 = 17
Homework
6.4 (pg. 492) #38,40,42,46,48,50