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please help,it's important.-need help quick.

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4)  Express each complex number in polar form.

  (a)  4 + 3i                 (b)  -5 – 2i

 

5)  Express 5 cis 3200 in rectangular form.

asked Jan 28, 2015 in PRECALCULUS by anonymous

3 Answers

0 votes

Step 1 :

4a)

The complex number is .

The polar form of a complex number is

image

Where    or  and .

Compare the above complex numbers, .

The absolute value .

Substitute in .

The absolute value of is .

Step 2:

The argument is

Substitute and in .

The polar form of a complex number is image

Substitute and in .

The polar form of a complex number is

Solution :

4a)

The polar form of a complex number is

answered Jan 28, 2015 by james Pupil
0 votes

Step 1:

5)

The polar form of a complex number is .

Rewrite the above complex number is

 image

The rectangular form of a complex number is image

Solution :

5)

The rectangular form of a complex number is image

answered Jan 29, 2015 by james Pupil
0 votes

1)

Step 1:

The points are image,image, image, image, image .

Polar coordinates image

imagedistance from the origin.

imageis the counter-clock wise angle.

The point image

image

image

The point image

image

image.

Step 2:

Graph:

Draw the polar plane.

Plot the points image,image, image and image, image.

Solution:

.

answered Feb 10, 2015 by david Expert

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