Question 278377
We need to convert to the form (r, theta). 

Graph the given point on the xy-plane. 

We drop a perpendicular line from (-2,2) to the x-axis forming a right triangle.
The value of x = -2 and the value of y = 2.

We now need to find the radius.  

r = sqrt{(-2)^2 + (2)^2}

r = sqrt{8})

r = 2(sqrt{2})

We now need to find the value of theta.

We can use any trig function to find theta.

The tangent function = y/x.  We know the values of x and y.

So, tan(theta) = 2/-2

Since theta is an angle, we need to use the tangent inverse key on the calculator.

We say that theta is -45 degrees in this example.

So, our final answer is (2(sqrt{2}), -45).

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