Chapter 14: Q1. (page 766)

Explain why $y = \tan (θ)$ has no amplitude.

Short Answer

Expert verified

Because the maximum and minimum value of tangent function is undefined. Therefore, the given function $y = \tan (θ)$ has no amplitude.

Step by step solution

Step 1. Write down the given information.

The given function is $y = \tan (θ)$ .

Step 2. Explanation.

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

Step 3. Conclusion.

Because the maximum and minimum value of tangent function is undefined. Therefore, the given function $y = \tan (θ)$ has no amplitude.

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Explain why $y = \tan (θ)$ has no amplitude.

Short Answer

Step by step solution

Step 1. Write down the given information.

Step 2. Explanation.

Step 3. Conclusion.

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Explain why y=tanθ has no amplitude.

Short Answer

Step by step solution

Step 1. Write down the given information.

Step 2. Explanation.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Statistics

Probability and Statistics

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Mechanics Maths

Study anywhere. Anytime. Across all devices.

Explain why $y = \tan (θ)$ has no amplitude.