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Plot the complex number in the complex plane and write it in polar form.

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Plot the complex number in the complex plane and write it in polar form. Express the argument in degrees.

1 + i
asked Jan 29, 2015 in PRECALCULUS by anonymous

1 Answer

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Step 1:

The complex number is .

The rectangular coordinates corresponding to the is .

Graph:

Plot the complex plane.

The point is located at first quadrant.

image

Step 2:

The polar form of a complex number image is image.

Where, image and image

Here image is the magnitude of the complex number and image is argument of image.

Compare the complex number with image.

Magnitude image.

Here, image and image.

image

Substitute image and imagein polar form.

image.

Solution:

Graph:

image

The polar for of the complex number is image.

answered Jan 30, 2015 by cameron Mentor
edited Jan 30, 2015 by cameron

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