October 11, 2024

Understanding \(\cos 180^\circ\)

The value of \(\cos 180^\circ\) is: $\cos 180^\circ = \boxed{-1}$ Explanation To understand why, let’s look at the unit circle. The cosine of an angle corresponds to the \(x\)-coordinate of the point on the unit circle at that angle. We measure angles by moving counterclockwise from the positive \(x\)-axis. Thus at \(180^\circ\), we’re at the…

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