Question

Classify the limaçon represented by the equation r = 2 + 2 sin theta

Answer 1

Given:

`r=2+2sin\emptyset`

Required:

Classify the limaçon

Step-by-step explanation:

now first take

`\emptyset=0`

we get

`r=2`

now take

`\begin{gathered} \emptyset=60 \\ \end{gathered}`

we get

`r=3.732`

now take

`\emptyset=90`

we get

`r=4`

now take

`\emptyset=135`

we get

`r=3.,41`

now take

`\emptyset=180`

we get

`r=2`

now put this in graph

We got something like this

Final answer:

Cardioid