Question
\cos \left(\frac{3\pi }{2}\right)
Answers
GPT-4o mini
To find \(\cos \left(\frac{3\pi }{2}\right)\), we can refer to the unit circle.
The angle \(\frac{3\pi}{2}\) radians corresponds to \(270^\circ\). At this angle, the point on the unit circle is located at the coordinates \((0, -1)\).
In the context of the cosine function, which corresponds to the x-coordinate of the point on the unit circle, we have:
\[
\cos\left(\frac{3\pi}{2}\right) = 0
\]
Therefore,
\[
\cos \left(\frac{3\pi }{2}\right) = 0.
\]
The angle \(\frac{3\pi}{2}\) radians corresponds to \(270^\circ\). At this angle, the point on the unit circle is located at the coordinates \((0, -1)\).
In the context of the cosine function, which corresponds to the x-coordinate of the point on the unit circle, we have:
\[
\cos\left(\frac{3\pi}{2}\right) = 0
\]
Therefore,
\[
\cos \left(\frac{3\pi }{2}\right) = 0.
\]