The maximum distance of the values of a periodic function above or below the midline.
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The value halfway between the maximum and minimum values of a period function. Also the horizontal line whose \(y\)-coordinate is that value.
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The length of an interval at which a periodic function repeats. A function \(f\) has a period, \(p\), if \(f(x+p) = f(x)\) for all inputs \(x\).
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A function whose values repeat at regular intervals. If \(f\) is a periodic function then there is a number \(p\), called the period, so that \(f(x + p) = f(x)\) for all inputs \(x\).
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The identity \(\sin^2(x) + \cos^2(x) = 1\) relating the sine and cosine of a number. It is called the Pythagorean identity because it follows from the Pythagorean theorem.
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The circle in the coordinate plane with radius 1 and center the origin.
