Evaluate for Theta Between 0 and 2pi

Evaluate for Theta Between 0 and 2pi

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to evaluate angles on the unit circle where the cosine of theta equals 1/2. It covers identifying the x-coordinate on the unit circle, finding angles in different quadrants, and using reflection to determine additional angles. The tutorial concludes with a summary of the angles found between 0 and 2π.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of the X coordinate in relation to the cosine of an angle Theta?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how the unit circle helps in determining the angles corresponding to a given cosine value.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

Discuss the importance of considering both the first and second quadrants when evaluating cosine values.

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Identify the angles between 0 and 2π where the cosine of Theta equals 1/2.

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the relationship between the angles π/3 and 5π/3 in terms of their cosine values?

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