Subjects trigonometry

Cosine Curve

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Cosine Curve


1. The problem asks to verify if the given graph is correct for the function being a cosine wave. 2. The cosine function $y=\cos x$ starts from $y=1$ at $x=0$, decreases to $y=-1$ at $x=180^\circ$, and returns to $y=1$ at $x=360^\circ$. 3. This matches the description given, where the sinusoidal wave starts at 1, dips to -1 at 180°, and goes back to 1 at 360°. 4. Therefore, the graph shape described is consistent with the cosine function $y=\cos x$ over the interval $[0^\circ, 360^\circ]$. 5. The shape is correct as it accurately represents the cosine curve behavior. Final answer: Yes, the curve shown is the correct graph of $y=\cos x$.