Question

Which complex number's graph is shown? 1 2 3 4 -1 و زر زر مع -3 37 O A. 2J7(cos 3* i sin O + 32T 4 O B. 2.2(cos 225° + i sin 225º) O C. 2lcos 2(cos 7+isin 4 4 D. -2(co 5135° + i sin135)

Answer 1

The point (-2,2), we need to evaluate each case

In this case, for the real part we need to obtain -2

`_{}2\sqrt[]{2}(\cos ((3\pi)/(4)))=-2`

For the imaginary part, we need to obtain 2

`2\sqrt[]{2}(\sin ((3\pi)/(4)))=2`

As we can see the complex number that is shown in the graph is

`2\sqrt[]{2}(\cos ((3\pi)/(4))+i\sin ((3\pi)/(4)))`

ANSWER

A.