Find the polar form of -3 .
Simplify any radicals. Express the argument in degrees, with .

Ask by Mcfarlane Henry. in the United States

Mar 29,2025

Question

Find the polar form of -3 . Simplify any radicals. Express the argument $$ 	heta $$ in degrees, with $$ 0^{\circ} \leq 	heta<360^{\circ} $$. \begin{tabular}{|lll|}\hline \ \hline$$ i $$ & $$ (\square) $$ & $$ \sin $$ \ \hline $$ \cos $$\end{tabular}

UpStudy AI · Accepted Answer

1. Write $$-3$$ in the standard form $$ a + bi $$:
   $$
   -3 + 0i
   $$
   
2. Compute the modulus $$ r $$:
   $$
   r = \sqrt{a^2 + b^2} = \sqrt{(-3)^2 + 0^2} = \sqrt{9} = 3
   $$
   
3. Determine the argument $$ \theta $$. Since the point is on the negative real axis:
   $$
   \theta = 180^\circ
   $$
   
4. Write the polar form:
   $$
   -3 = 3 \left( \cos 180^\circ + i \sin 180^\circ \right)
   $$
The polar form of $$-3$$ is $$3 \left( \cos 180^\circ + i \sin 180^\circ \right)$$.

Find the polar form of -3 .
Simplify any radicals. Express the argument in degrees, with .

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Find the polar form of -3 . Simplify any radicals. Express the argument in degrees, with .