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Changing a complex number from standard form (x + iy) to normal form r(Cos(theta)+isin(theta)) is relatively simple if you're comfortable with trigonometry and Pythagoras's theorem. It is easiest to imagine it in the context of the complex plane.

If you were to draw your complex number on the complex plane, theta would be the angle between the number and the positive x axis, and r would be the length of the line. r is easiest to find; simply put x and y into the equation Sqrt(x2 + Y2)and the result will be r, the length of the complex number.

To find theta, you must picture a triangle, imagining the length y to be the opposite, and the length x to be the adjacent, and performing arctan(y/x) to find theta - however, be careful as depending on what quadrant the number is in, you may have to perform further operations in order to find the true angle.
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Q: How do you change a number from standard form to normal form?
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