Determine the polar form of the complex number 5 – 3i. Express the angle θ in degrees, where, 0≤∅≤360° and round numerical entries in the answer to two decimal places.

Question options:

5.83(cos329.04° – isin329.04°)

329.04(cos329.04° – isin329.04°)

329.04(cos5.83 + isin5.83°)

5.83(cos329.04° + isin329.04°)

Option 4 -> 5.83 ( cos329.04 + i sin 329.04)

Step-by-step explanation:

Step 1 :

Given complex number is 5 - 3i

Step 2 :

To determine the polar form of the complex number x + iy we need to find r = and angle theta = inverse tan(y/x)

Then the polar form would be r(cos theta + i sin theta)

Step 3 :

so for the given complex number we have r =

and theta = inverse tan( 3/5) =  30.96

Here the number is in the 4th quadrant so we have

theta = 360 - 30.96 = 329.04 degrees

Step 4  :

So the required polar form is

5.83 ( cos329.04 + i sin 329.04)

Hence option 4 is the correct answer

4

step-by-step explanation:

6 (donuts) divided by 3 is 2.

so 2/3 means 2 times 2, which is 4/6.

you get two and your friend gets four.

correct answer is c. just did it

step-by-step explanation: