Master How to determine the domain and range of the inverse trigonometric functions

Master How to determine the domain and range of the inverse trigonometric functions

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial covers the domain and range of sine, cosine, and tangent functions, and their inverses. It explains how to identify these properties using graphs and discusses the importance of restricting the range for inverse functions to ensure they remain functions. The tutorial also demonstrates how to graph inverse trigonometric functions by swapping coordinates and reflecting them about the y=x line.

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4 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you find the inverse of a function graphically?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the range of the tangent function as discussed in the text?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the relationship between the domain and range of a function and its inverse.

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the restricted ranges for the inverse sine and cosine functions?

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