How do you graph #r=4/(-3+3sintheta)#?
1 Answer
This is a hyperbola with its center
Explanation:
Multiply both sides by the denominator:
Multiply both side by -1:
Move the sine term to the right:
Factor out a 4:
Square both sides:
Substitute
Expand the square on the right:
distribute through the ()s:
Combine like terms and leave the constant on the right:
Add
Factor out -4 from the y terms
Use 8y to find the value of
This makes the left a perfect square with k:
Divide both sides by -48:
Put in standard form:
This is a hyperbola with its center