Question

Find the product of the complex numbers. Express your answer in trigonometric form. 2 T 2-5(co-(1)-cm ( 퍼 cas + sin 2 52T Zn = 2 COS +! sin 6. 6. 477 ОА Cos 4T 3 +isin 3 + i T 3 3 T O B. 10cos (47) sin(47) O C. 1960s(-1-isin (1) O DE ool + 3 + i sin ( 3

Answer 1

We will have the following:

`(5(\cos ((\pi)/(2))+i\sin ((\pi)/(2))))\cdot(2(\cos ((5\pi)/(5))+i\sin ((5\pi)/(6))))=10(\cos (-(2\pi)/(3))+i\sin (-(2\pi)/(3)))`
`=10(\cos ((4\pi)/(3))+i\sin ((4\pi)/(3)))`

[We exploit the fact that trigonometric funtions are cyclical to determine the answer.

[Option B]