How to Graph the Cosine Function?
A step-by-step guide to graph the cosine function
From the graph, we can know how \(x\) and \(y\) change:
- By increasing \(x\) from \(0\) to \(\frac{\pi}{2}\), \(y\) decreases from \(1\) to \(0\).
- By increasing \(x\) from \(\frac{\pi}{2}\) to \(\pi\), \(y\) decreases from \(0\) to \(-1\).
- By increasing \(x\) from \(\pi\) to \(\frac {3\pi}{2}\),\(y\) increases from \(-1\) to \(0\).
- By increasing \(x\) from \(\frac {3\pi}{2}\) to \(2\pi\), \(y\) increases from \(0\) to \(1\).
This pattern repeats itself when we plot a larger subset of the domain of the \(cos\) function. For example, add to the points given above the point whose \(x\)-coordinates are in the interval \(−2π≤x≤0\):
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Original price was: $109.99.$54.99Current price is: $54.99.
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