1- Convert the polar coordinates (-3, 135) 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