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Explain what it means to say that the period of a function is 180°.

Short Answer

Expert verified

It means that the graph of the function repeats itself after an interval of 180or∘π.

Step by step solution

01

Step 1. Write down the given information.

The given statement is to explain that the period of the function is 180°.

02

Step 2. Explanation.

The definition of period or periodicity of a function means that the graph of a function repeats itself after a specific interval. Therefore, if the given function has a period of 180° then it means that the graph of the function repeats itself after an interval of 180or∘π. For example, the period of the sine and cosine function is 360or∘2π which means that the graph of sine and cosine function will repeat after an interval of 360or∘2π. And second example is of tangent and cotangent function whose period is 180or∘π which means that the period of tangent and cotangent function will repeat itself after an interval of 180or∘π.

03

Step 3. Conclusion.

It means that the graph of the function repeats itself after an interval of 180or∘π.

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