Answer:
The correct option is B. 3√2(cos(135°) + i·sin(135°))
Step-by-step explanation:
The complex number is given as : 3 - 3i
Now, comparing this with the standard for : a + bi
⇒ a = 3 and b = -3
Now, r = √a² + b²
⇒ r = √18
⇒ r = 3√2
[tex]\tan\theta=\frac{b}{a}\\\\\implies\tan\theta=\frac{-3}{3}\\\\ \implies\tan\theta =-1\\\\ \implies\theta=\frac{3\pi}{4}\\\\\implies\theta=135[/tex]
Now, The polar form is represented by :
z = r(cosθ + i·sinθ)
⇒ z = 3√2(cos 135° + i·sin 135°)
Therefore, the correct option is B. 3√2(cos(135°) + i·sin(135°))
Answer:
3sqrt(cos(315⁰)+isin(315⁰))
Step-by-step explanation:
