Question

Identify, graph, and state the symmetries for each polar equation. Write the scale that you are using for the polar axis.
1) r=9cos(5theta)
2) r=2costheta

Answer 1

I honestly don't really know how to do this stuff

Answer 2

hint cos(-Θ)= cos(Θ)

Answer 3

If the equation is unchanged when you replace r with -r
you have symmetry with respect to origin (with respect to pole).

If the equation is unchanged when you replace Θ with -Θ
you have symmetry with respect to x axis (with respect to polar axis).

If the equation is unchanged when you replace r with -r and Θ with -Θ
you have symmetry with respect to y axis (with respect to Θ = π/2).

Answer 4

@perl, I just don't get what it's asking me to do.

Answer 5

@Haseeb96 can you help?

Answer 6

@amistre64 help?

Answer 7

@roz_mar23 do you understand this?

Answer 8

hi :)

Answer 9

illl help uuuu

Answer 10

hello @dan815 !!

Answer 11

thank you!

Answer 12

give me one min i have to wash my plate

Answer 13

for sure

Answer 14

okkkk

Answer 15

lets start with the base equation
\[r=cos(\theta )\]

Answer 16

you know how cos(theta)=x/r?

Answer 17

no. I don't know anything about precalc. this is my last packet for school and I'm learning it online and it doesn't make sense.

Answer 18

ok sure, dont worry it just comes from the circle, do you remember how
cos theta = adj/hyp from the Soh Cah Toa stuff

Answer 19

yes that much i think i understand

Answer 20

okay well take a look at the x y coordinate system

Answer 21

first of all this is the relationship between r and theta with x and y