SOLUTION: Write the complex number in trigonometric form. Round the angle to the nearest hundredth of a degree. 5 − 12i So far I have gotten 13(cos(22.03)+isin(22.03), and 13(cos(21.83

Question 1170517: Write the complex number in trigonometric form. Round the angle to the nearest hundredth of a degree.
5 − 12i
So far I have gotten 13(cos(22.03)+isin(22.03), and 13(cos(21.83)+isin(21.83).
All incorrect.
Answer by math_helper(2461) (Show Source): You can put this solution on YOUR website!
If you draw it out on a coordinate grid, using the x-axis for reals and the y-axis for imaginary parts you will put a point at (5,-12).

Now:

And the modulus (magnitude or radius for polar form) is equal to the hypotenuse of the drawn triangle:

Putting these together:

Noting that -67.38 degrees (CW rotation of 67.38 degrees) is the same as a CCW rotation of 292.62 degrees, you can write:

While the negative angle might be a little more common, both answers should be acceptable.

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