1. Convert inches to centimeters using the conversion factor: 1 inch = 2.54 cm.
2. Multiply the length in inches by the conversion factor: 8 \times 2.54 = 20.32.
3. The length of the pencil in centimeters is: 20.32 \text{ cm}.
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Find the value of x in the interval [0, 2π) for which the cotangent function has a value of 1.