SOLUTION: What is the following quotient expressed in polar form: 10*(cos(35 °)+ isin(35 °)) / 5*(cos(100 °) +isin(100 °)) Please enter your answer in cis notation and enter an angle

Algebra ->  Trigonometry-basics -> SOLUTION: What is the following quotient expressed in polar form: 10*(cos(35 °)+ isin(35 °)) / 5*(cos(100 °) +isin(100 °)) Please enter your answer in cis notation and enter an angle      Log On


   

Question 982283: What is the following quotient expressed in polar form:
10*(cos(35 °)+ isin(35 °)) / 5*(cos(100 °) +isin(100 °))
Please enter your answer in cis notation and enter an angle between 0° and 360°.
Thank you in advanced.
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!


cis%28theta%29 is just short for cos%28theta%29%2Bi%2Asin%28theta%29

So the above can be written:

+%2810%2A+cis%28%2235%B0%22%29%29+%2F%28+5%2Acis%28%22100%B0%22%29+%29%29

Rule for dividing complex numbers in trig form: 
Divide the r's and subtract the q's.

expr%2810%2F5%29%2Acis%28%2235%B0%22-%22100%B0%22%29

2%2Acis%28%22-65%B0%22%29

Add 360° to make the angle positive:

2%2Acis%28%22295%B0%22%29

Edwin