SOLUTION: Please help me with this! If: z=4(cos 50 degrees + i sin 50 degrees) and w=2(cos 340 degrees + i sin 340 degrees), find z/w in polar form. The choices that are given are: 1. 8(

Algebra ->  Trigonometry-basics -> SOLUTION: Please help me with this! If: z=4(cos 50 degrees + i sin 50 degrees) and w=2(cos 340 degrees + i sin 340 degrees), find z/w in polar form. The choices that are given are: 1. 8(      Log On


   



Question 150314: Please help me with this!
If:
z=4(cos 50 degrees + i sin 50 degrees) and w=2(cos 340 degrees + i sin 340 degrees), find z/w in polar form.
The choices that are given are:
1. 8(cos 390 degrees + i sin 390 degrees)
2. 2[cos (-290 degrees) + i sin (-290 degrees)]
3. 2(cos 290 degrees + i sin 290 degrees)
4. 2(cos 110 degrees + i sin 110 degrees)
Thanks, Tami

Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
Please help me with this!
If:
z=4(cos 50 degrees + i sin 50 degrees) and w=2(cos 340 degrees + i sin 340 degrees), find z/w in polar form.
The choices that are given are:
1. 8(cos 390 degrees + i sin 390 degrees)
2. 2[cos (-290 degrees) + i sin (-290 degrees)]
3. 2(cos 290 degrees + i sin 290 degrees)
4. 2(cos 110 degrees + i sin 110 degrees)
Thanks, Tami

You just have to learn the rules for multiplying and dividing complex
numbers in trigonometric (or polar) form:

The rule for multiplying complex numbers in trig (polar) form is:

"multiply the r's and add the angles":



You don't need that one now but you will on other problems.

--------------------------------------

The rule for dividing complex numbers in polar form is similar:

"Divide the r's and subtract the angles":



z+=+4%28cos%2850%29+%2B+i+sin%2850%29%29 
w+=+2%28cos%28340%29+%2B+i+sin%28340%29%29



Choice 2.

Edwin