Review of Polar to Rectangular!

I have almost nothing left to review or so it seems and we were off this week so obviously we have not learned any new and interesting mathematical skills so here I go with the reviewing and what not. I'm gonna talk about converting rectangular to polar and vice versa.

Convert (9,30 degrees) to rectangular

To do this, use the equation

x=9cos30 y=9sin30

You should get

(9 square root of 3/2,9/2)

Now, let's go over rectangular to polar.

Convert (3,3)

Use this equation:

x=square root of (3^2+3^2)=square root of 18 or +/-3square root of 2

theta=tan inverse (3/3) This equals one which is on your trig chart as 45 degrees. You'd then draw your coordinate plane and find that the other positive angle is 225 degrees. You should have two answers that are set up like this.

(3 square root of 2, 45 degrees)
(-3 square root of 2, 225 degrees)

That my friends is all there is to it. Easy right? Everyone get ready for a trig exam!

--Sarah