Convert the rectangular coordinates (3, -3) into polar coordinates. Express all angles in degrees.
- Convert the rectangular coordinates (3, -3) into polar coordinates. Express all angles in degrees.
- 3 square root 2, -45 degrees
- 3 square root 2, 45 degrees
- -3 square root 2, -135 degrees
- 3 square root 2, 135 degrees
2. Convert the rectangular coordinates (square root 2, negative square root 2) into polar coordinates. Express all angles in degrees rounded to the nearest degree.
- (2, 180 degrees)
- (2, 0 degrees)
- (2, -45 degrees)
- ( 2, 45 degrees)
3. A woman walks 100 yards east along a straight shoreline and then swims 30 yards south into the ocean on a line that is perpendicular to the shoreline. Using her starting point as the pole and the east direction as the polar axis, give her current position polar coordinates. Round the coordinates to the nearest hundredth. Express θ in degrees.
- (11.40, -88.28 degrees)
- (104.40, -88. 28 degrees
- (11. 40, -16.70 degrees)
- (104.40, -16.70 degrees)
4.The letters r and θ represent polar coordinates. Write the following equation using rectangular coordinates (x, y).
r=cos pheta
- (x+y)^2 =x
- (x+y)^2 =y
- X^2 + y^2 = y
- x^2 + y^2 =x
5.The letters x and y represent rectangular coordinates. Write the following equation using polar coordinates (r, θ).
x^2 +4y^2 =4
- cos^2 pheta + 4sin^2pheta =4r
- 4cos^2 pheta + sin^2pheta =4r
- r^2(cos^2pheta + 4sin^2pheta) =4
- r^2 (4cos^2pheta + sin^2pheta) =4
6. The letters r and θ represent polar coordinates. Write the following equation using rectangular coordinates (x, y).
r=10sin pheta
- (x+y)^2 = 10x
- (x+y)^2=10y
- x^2 + y^2 =10y
- x^2 + y^2 = 10x
7.The letters x and y represent rectangular coordinates. Write the following equation using polar coordinates (r, θ).
y=5
- rcos pheta= 5
- rcos pheta= -5
- rsin pheta = -5
- rsin pheta =5
8.The letters x and y represent rectangular coordinates. Write the following equation using polar coordinates (r, θ).
x= -3
- rcos pheta = -3
- rcos pheta = 3
- rsin pheta = -3
- rsin pheta = 3