Convert the point to rectangular coordinates.
$(-2,-\(\frac{\pi}{4}\))$

• A. $(\(\sqrt{2}\),-\(\sqrt\)2)$
• B. $(-1,1)$
• C. $(-\(\sqrt{2}\),\(\sqrt{2}\))$
• D. $(-\(\frac{\sqrt{2}\)}{2},\(\frac{\sqrt{2}\)}{2})$

Answer: (C)

Verified step by step guidance

1. Identify the given polar coordinates: (r, θ) = (-2, -\(\frac{\pi}{4}\)).
2. Recall the formulas to convert polar coordinates to rectangular coordinates: x = r \(\cdot\) \(\cos\)(θ) and y = r \(\cdot\) \(\sin\)(θ).
3. Substitute the given values into the formulas: x = -2 \(\cdot\) \(\cos\)(-\(\frac{\pi}{4}\)) and y = -2 \(\cdot\) \(\sin\)(-\(\frac{\pi}{4}\)).
4. Calculate \(\cos\)(-\(\frac{\pi}{4}\)) and \(\sin\)(-\(\frac{\pi}{4}\)). Remember that \(\cos\)(-θ) = \(\cos\)(θ) and \(\sin\)(-θ) = -\(\sin\)(θ).
5. Simplify the expressions to find the rectangular coordinates (x, y).