Convert the point to rectangular coordinates.
$(0,\(\frac{7\pi}{4}\))$

• A. $(0,\(\frac\)74)$
• B. $(-4,0)$
• C. $(0,0)$
• D. $(0,7)$

Answer: (C)

Verified step by step guidance

1. Identify the given point in polar coordinates: (r, θ) = (0, \(\frac{7\pi}{4}\)).
2. Recall the formulas to convert polar coordinates (r, θ) to rectangular coordinates (x, y): x = r \(\cos\)(θ) and y = r \(\sin\)(θ).
3. Substitute the given values into the formulas: x = 0 \(\cdot\) \(\cos\)(\(\frac{7\pi}{4}\)) and y = 0 \(\cdot\) \(\sin\)(\(\frac{7\pi}{4}\)).
4. Since the radius r is 0, both x and y will be 0 regardless of the angle θ.
5. Conclude that the rectangular coordinates are (x, y) = (0, 0).