1. Convert the polar coordinates (-3, 135º) into rectangular coordinates. Round the rectangular coordinates to the nearest hundredth.
a) (-2.12, -2.12)
b) (-2.12, 2.12)
c) (2.12, 2.12)
d) (2.12, -2.12)
2. The letters x and y represent rectangular coordinates. Write the following equation using polar coordinates (r, 0).
x^2 + y^2 -4x = 0
a) r=4sin0
b) r=4cos0
c) rcos^2 0 =4sin0
d) rsin^2 0= 4cos0
3. The letter x and y represents rectangular coordinates. Write the following equation using polar coordinates (r, 0)
x^2+4y^2=4
a) cos^2 0 + 4sin^2 0 = 4r
b) 4cos^2 0 + sin^2 0 =4r
c) r^2(cos^2 0 + 4sin^2 0) = 4
d) r^2(4cos^2 0 + sin^2 0) = 4
4) The letters r and 0 represent polar coordinates. Write the following equation using rectangular coordinates (x, y). r=10sin0
a) (x+y)^2=10x
b) (x+y)^2=10y
c) x^2+y^2=10y
d) x^2+y^2=10x