Graph Polar Equation...4

[nycmathguy]

Can you show me how to graph polar equations by hand on the xy-plane?

Work out 26.

View attachment 2272

 

[MathLover1]

26.

r=2cos(5θ) (five -leafed rose)

find several points (θ,r)

table:
θ |r
0|2
pi/2|0
-pi/2|0
pi|-2
-pi|-2
3pi/2|0
-3pi/2|0
2p|2
-2p|2

plot points and draw a rose

 

[nycmathguy]

26.

r=2cos(5θ) (five -leafed rose)

find several points (θ,r)

table:
θ |r
0|2
pi/2|0
-pi/2|0
pi|-2
-pi|-2
3pi/2|0
-3pi/2|0
2p|2
-2p|2

plot points and draw a rose

View attachment 2273

I don't think it's so important learning how to graph polar equations by hand with so many free graphing calculators online. There are more important topics in mathematics to spend time on. Do you agree? In my particular case, I am not a classroom student. However, I will try to graph at least two of the posted 5 polar equations by hand later on today.

 

[nycmathguy]

26.

r=2cos(5θ) (five -leafed rose)

find several points (θ,r)

table:
θ |r
0|2
pi/2|0
-pi/2|0
pi|-2
-pi|-2
3pi/2|0
-3pi/2|0
2p|2
-2p|2

plot points and draw a rose

View attachment 2273

How about this one?

Graph Polar Equation...2

 

[nycmathguy]

26.

r=2cos(5θ) (five -leafed rose)

find several points (θ,r)

table:
θ |r
0|2
pi/2|0
-pi/2|0
pi|-2
-pi|-2
3pi/2|0
-3pi/2|0
2p|2
-2p|2

plot points and draw a rose

View attachment 2273

Is the following correct?

1. Graph Polar Equation...7
2. Graph Polar Equation...6