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Evaluating the composition of Functions

Evaluating the composition of Functions

Assessment

Interactive Video

Mathematics

11th Grade - University

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

The video tutorial explains the composition of sine and arc cosine functions, focusing on evaluating the inverse cosine of -sqrt(2)/2. It guides viewers through determining the angle using the unit circle, ensuring it falls within the range of 0 to π. The angle is found to be 3π/4, and the sine of this angle is calculated, resulting in sqrt(2)/2. The tutorial concludes by confirming the sine of the arc cosine of -sqrt(2)/2 equals the positive sqrt(2)/2.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the innermost function that needs to be evaluated in the given text?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What angle corresponds to the cosine value of -√2/2?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

How is the sine of the angle three π/4 evaluated?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the sine value when the angle is three π/4?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the relationship between the sine of the arc cosine of -√2/2 and its evaluated value.

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