Precalc project period 3

polar coordinates

100

Convert the set of polar coordinates to rectangular coordinates.

(3 , - π/3)

(3 , - π/3)

200

Whats are the polar coordinates of these rectangular coordinates?

(0 , 2)

(2 , π/2)

300

Convert the set of rectangular coordinates to polar coordinates.

( 3, √3 ) 

(2√3 ,π/6)

400

convert the set of rectangular coordinates to polar coordinates 

(3, -3).

(3√2,-π/4)

500

convert the set of polar coordinates to rectangular coordinates of.

 (5, 3pi/4)

(-5√2,5√2)

general

100

what does r stand for in polar coordinates 

r stands for the radius 

200

what does theta generally represent

the degree of the point

300

When converted into rectangular form, the center of the circle r = 10 is ______.

(0,0)

400

what are the equations to go from polar to rectangular

rcosθ, rsinθ

500

what are the equations to go from rectangular to polar?

Y^2+x^2=R^2, tanθ= y/x

graph types

100

what is the base for a rose curve equation ?

r = a cos nθ

200

what is the base for a Limacon Curve equation ?

r = a – b cos θ. or r = a + b cos θ.

300

what is the base for cardioid curves equations?

r= a+acosθ

400

for a circle to have its center on the vertical axis

sinθ

500

for a circle to have its center on the polar axis

cosθ

converting equations

100

rcosθ=16

x=16

200

r=6

x2+y2=36

300

θ=-π/4

rsinθ+rcosθ=0

400

r=2secθ

x=2

500

r=2cosθ+2sinθ

(x-1)^2+(y-1)^2=2