Trig Question: Find the rectangular coordinates...?

I'll do one of each type of problem for you with a full explanation. For polar coordinates, you are given r and theta. To switch to rectangular, you need to get x and y.

So you would use the formulae you listed above: x=rcost and y=rsint x=4cos(3pi/2); y=4sin(3pi/2) Simplify the trig expressions using the unit circle. 4*(1/2); 4*(root(3)/2) So your coordinates are (2, 2*(root3) For rectangular coordinates, you are given x and y. To switch to polar, you need to get r and t.

Remember that via the Pythagorian Theorem, x^2 + y^2 = r^2. So, r = SQRT(x^2+y^2). Remember that via t = tan^-1 (y/x).

In english, all you need to do is take the inverse tangent of y/x to find the value of the angle, theta. 3^2+0^2=r^2 9 = r^2 so r=3 t = tan^-1(0/3).

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