Convert the cartesian equation x^2 + y^2 = 16 to a polar equation.
convert the cartesian equation x^2 + y^2 + 2y = 0 to a polar equation.
convert the cartesian equation y = 3 to a polar equation.
will someone tell me a good calculator to use for these equations?

Problem 1:

Problem 2:

Problem 3:

Step-by-step explanation:

Problem 1:

So we are going to use the following to help us:

So if we make those substitution into the first equation we get:

Factor the out:

The following is a Pythagorean Identity: .

We will apply this identity now:

This implies:

We don't need both because both of include points with radius 4.

Problem 2:

Factoring out from first two terms:

Apply the Pythagorean Identity I mentioned above from problem 1:

or if we factor out r:

r=0 is actually included in the other equation since when theta=0, r=0.

Problem 3:

the anwser is d) 75°

step-by-step explanation: