MATH SOLVE

11 months ago

Q:
# Convert -squareroot of 3 +i into CIS form using exact radian measures

Accepted Solution

A:

we need to find its magnitude (r) and argument (ΞΈ).
First, let's find the magnitude (r):
|r| = $$ \sqrt{(\left(-\sqrt{3}\right)^2+i^2)}=\sqrt{3+1}=2 $$
Next, let's find the argument (ΞΈ):
$$ΞΈ = atan2(Im, Re) = atan2(1, -β3) = Ο/6$$
Therefore, in CIS form, the complex number -β3 + i can be represented as:
2 * cis(Ο/6)