Question

Which is the graph of r=4sintheta

Answer 1

Answer:

The graph belongs to the conic family called circle. Assign several values for

θ

then compute corresponding

r

then plot the graph

Explanation:

The given

r

=

4

sin

θ

is equivalent to

x

2

+

y

2

=

4

y

and by completing the square

x

2

+

y

2

−

4

y

+

4

−

4

=

0

(

x

−

0

)

2

+

(

y

−

2

)

2

=

4

also using the "center-radius form#

(

x

−

h

)

2

+

(

y

−

k

)

2

=

r

2

(

x

−

0

)

2

+

(

y

−

2

)

2

=

2

2

center

(

h

,

k

)

=

(

0

,

2

)

with radius

r

=

2

now, you are ready to graph

kindly see the graph below

graph{x^2+y^2=4y[-10,10,-5,5]}

You may also use

r

=

4

sin

θ

right away by assigning values for

θ

and noting all

(

r

,

θ

)

coordinates.

Step-by-step explanation: