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91Ó°ÊÓ

Explain why y=tanθ has no amplitude.

Short Answer

Expert verified

Because the maximum and minimum value of tangent function is undefined. Therefore, the given functiony=tanθ has no amplitude.

Step by step solution

01

Step 1. Write down the given information.

The given function is y=tanθ.

02

Step 2. Explanation.

Since the given function y=tanθ has no maximum and minimum values because the maximum and minimum value of tangent function is undefined. Therefore, the given function y=tanθ has no amplitude. It can also be interpreted from the graph of y=tanθ shown below that the maximum and minimum values of y=tanθ is not defined. So, the given function has no amplitude.

03

Step 3. Conclusion.

Because the maximum and minimum value of tangent function is undefined. Therefore, the given function y=tanθ has no amplitude.

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