SOLUTION: 11) A rectangular equation equivalent to r = sin(theta) is: a) x^2 + y^2 = y b) x^2 + y^2 = x c) x^2 – y^2 = y d) x^2 – y^2 = x e)

Algebra ->  Trigonometry-basics -> SOLUTION: 11) A rectangular equation equivalent to r = sin(theta) is: a) x^2 + y^2 = y b) x^2 + y^2 = x c) x^2 – y^2 = y d) x^2 – y^2 = x e)       Log On


   

Question 122525: 11) A rectangular equation equivalent to r = sin(theta) is:

a) x^2 + y^2 = y
b) x^2 + y^2 = x
c) x^2 – y^2 = y
d) x^2 – y^2 = x
e) none of these

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
# 11
Using the conversion formulas that convert polar to rectangular, we have


(since we're dealing with sine) and



Now square both sides of the second formula


------------------ Now let's manipulate :


Multiply both sides by r


Replace with . Remember,



Replace with . Remember,



So the polar equation converts to So the answer is A)