Perform the operation shown below and leave the result in trigonometric form.

B)
C)
D)

Question

Perform the operation shown below and leave the result in trigonometric form. ​
​ 
B)​ 
C)​ 
D)​

Quizplus · Accepted Answer

The operation involves multiplying a complex number in trigonometric form with magnitude 11 and argument pi/6 by a complex number in trigonometric form with magnitude 3 and argument -7pi/6.

Multiplying the magnitudes, we get 33. To find the argument of the product, we add the arguments and simplify:

pi/6 + (-7pi/6) = -pi/2

Therefore, the product is a complex number in trigonometric form with magnitude 33 and argument -pi/2.

Converting to rectangular form, we get:

33(cos(-pi/2) + i sin(-pi/2)) = -33i

Therefore, the correct choice is C, which has the answer -33i in trigonometric form.

Perform the Operation Shown Below and Leave the Result in Trigonometric