There is a function representing a circle centered at the origin with a radius of 1 unit. There is a point A on the circle with an angle of $\frac{\pi}{5}$ to the negative x-axis. What is the value of the x-coordinate of point A?
Choices:
A:$\sin \left(\frac{\pi}{5}\right)$
B:$\cos \left(\frac{\pi}{5}\right)$
C:$\sin \left(\frac{6 \pi}{5}\right)$
D:$\cos \left(\frac{6 \pi}{5}\right)$
E:$\sin \left(\frac{9 \pi}{5}\right)$
F:$\cos \left(\frac{9 \pi}{5}\right)$
Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: There is a function representing a circle centered at the origin with a radius of 1 unit. There is a point A on the circle with an angle of $\frac{\pi}{5}$ to the negative x-axis. What is the value of the x-coordinate of point A?
Choices:
A:$\sin \left(\frac{\pi}{5}\right)$
B:$\cos \left(\frac{\pi}{5}\right)$
C:$\sin \left(\frac{6 \pi}{5}\right)$
D:$\cos \left(\frac{6 \pi}{5}\right)$
E:$\sin \left(\frac{9 \pi}{5}\right)$
F:$\cos \left(\frac{9 \pi}{5}\right)$
Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: There is a function representing a circle centered at the origin with a radius of 1 unit. There is a point A on the circle with an angle of $\frac{\pi}{5}$ to the negative x-axis. What is the value of the x-coordinate of point A?
Choices:
A:$\sin \left(\frac{\pi}{5}\right)$
B:$\cos \left(\frac{\pi}{5}\right)$
C:$\sin \left(\frac{6 \pi}{5}\right)$
D:$\cos \left(\frac{6 \pi}{5}\right)$
E:$\sin \left(\frac{9 \pi}{5}\right)$
F:$\cos \left(\frac{9 \pi}{5}\right)$