Pre-Cal Quest: Polars

r = cos2(theta)

r = 2cos(theta)

r² = cos2(theta)

r = sin2(theta)

r = 2

(theta) = 2

none of these

r = 2/cos(theta)

vertical line

r = 2csc(theta)

none of these

r = (theta)

spiral

r = 2sin3(theta)

r = 2cos3(theta)

r = cos4(theta)

none of these

lemniscates

always go through the pole

cardioids

always go through the pole

limacons w/ loops

always go through the pole

circles

does not always go through the pole

petal curves

always go through the pole

convex limacons

does not always go through the pole

limacons w/ dents

does not always go through the pole

Every ordered pair is unique in polar coordinates

false

Every ordered pair is unique in rectangular coordinates

true

r² = 2cos3(theta) is the equation for a lemniscate

false

(theta) = r is the equation for a line

false

The origin, in polar coordinates, is called the pole

true

r = 3cos(theta) is a circle

true

r = cos3(theta) is a circle

false

r = 1 + 3cos(theta) is a limacon with a loop

true

r = 3cos(theta) is a vertical line

false

(2, pi/4) and (-2, 5pi/4) are the same point

true

(0,1)

(1, pi/2)

(1,1)

(sqr rt 2, pi/4)

(-1, 0)

(1, pi)

(-1, -1)

none of these