math 2: polar coordinates

Question 1

regular rectangular coordinates of P are

Answer 1

(x, y)

Question 2

the polar coordinates of P are

Answer 2

(r, θ)

Question 3

if r > 0, it’s measured aong the ray of the

Answer 3

terminal side of θ

Question 4

if r

Answer 4

opposite ray

Question 5

x =

Answer 5

rcosθ

Question 6

y =

Answer 6

rsinθ

Question 7

r²=

Answer 7

x² + y²

Question 8

unlike the case involving rectangular coordinates, each point in the plane can be named by an …. of polar coordinates

Answer 8

infinite number

Question 9

in general, a point in the plane represented by (r, θ) can also be represented by … or … where n is an integer

Answer 9

(r, θ + 2πn); (-r, θ + (2n - 1)π)