Evaluating the composition of inverse functions using triangles

Evaluating the composition of inverse functions using triangles

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

Created by

Quizizz Content

FREE Resource

The video tutorial explains how to evaluate the sine of the arccosine of a given value. It begins with an introduction to inverse cosine and the importance of constructing triangles for evaluation. The tutorial then discusses quadrant analysis to ensure the correct placement of triangles. The Pythagorean theorem is applied to find the missing side of the triangle. Finally, the sine of the angle is calculated, providing a comprehensive understanding of the process.

Read more

5 questions

Show all answers

1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the relationship between cosine and the sides of a triangle?

Evaluate responses using AI:

OFF

2.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you determine the quadrant in which a triangle lies when dealing with inverse cosine?

Evaluate responses using AI:

OFF

3.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the process of finding the third side of a triangle using the Pythagorean theorem.

Evaluate responses using AI:

OFF

4.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the final answer for the sine of the angle Theta in the triangle discussed?

Evaluate responses using AI:

OFF

5.

OPEN ENDED QUESTION

3 mins • 1 pt

Why is it important to create a correct triangle when evaluating inverse cosine?

Evaluate responses using AI:

OFF