(10 cis 200) (2 cis 50) = ?

Is it just 20cis(10000)?

multiply the magnitudes add the angles.

20cis250

To multiply complex numbers in polar form, you can multiply their magnitudes and add their angles. So let's break down the expressions:

(10 cis 200) represents a complex number with magnitude 10 and an angle of 200 degrees.
(2 cis 50) represents a complex number with magnitude 2 and an angle of 50 degrees.

To find the product, we multiply the magnitudes and add the angles. Therefore:

Magnitude: 10 * 2 = 20
Angle: 200 + 50 = 250 (degrees)

So the product is 20 cis 250.

Note that the correct calculation is not 20 cis 10000.