Question

What is the result of w−z expressed in rectangular form, given w=2(cos(210∘)+isin(210∘)) and z=2(cos(330∘)+isin(330∘))?

1.2i−2i
2. - 2√3 - 2i
3.0i - 2√3 - 2i
4.-2√3+0i-2i

Answer 1

The result of w-z expressed in rectangular form is -2√3 - 2i.

Step-by-step explanation:

To find the result of w-z expressed in rectangular form, we need to subtract the complex numbers w and z. Given w=2(cos(210°)+isin(210°)) and z=2(cos(330°)+isin(330°)), we can subtract the real parts and the imaginary parts separately.

Real part: 2*cos(210°) - 2*cos(330°) = -2√3

Imaginary part: 2*sin(210°) - 2*sin(330°) = -2i

Therefore, the result of w-z expressed in rectangular form is -2√3 - 2i.