Evaluating the composition of Functions

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.

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

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

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

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

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

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