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Chapter 4: Problem 6

State the period of each function. $$y=\cot x$$

Short Answer

Expert verified
The period of the function \(y=\cot(x)\) is \(\pi\).

Step by step solution

01

Definition of period

The period of a function is the interval over which the function repeats itself. So, we have to identify the interval where the function \(y=\cot(x)\) has its regular pattern.
02

Properties of the Cotangent Function

The cotangent function, \(y= \cot(x)\), is a reciprocal trigonometric function. It repeats every \(\pi\) radians. That means the cotangent function has the same value every time \(x\) increases by \(\pi\).
03

Stating the Period of the Function

For the cotangent function, this repeating interval, or period, is \(\pi\). Therefore, the period of the given function \(y= \cot(x)\) is \(\pi\).

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Most popular questions from this chapter

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