Evaluate for Theta Between 0 and 2pi, Secθ = -1

Evaluate for Theta Between 0 and 2pi, Secθ = -1

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to evaluate the angle Theta when the secant of Theta equals -1. It begins by discussing the relationship between secant and cosine, noting that secant is the reciprocal of the cosine function. The tutorial then guides viewers through finding the angle on the unit circle where the cosine equals -1, which corresponds to the angle π. The video concludes by emphasizing that the angle must be 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 relationship between the secant of an angle and its X coordinate?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of the unit circle in finding the cosine of an angle?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you determine the angle Theta when the secant of Theta is equal to -1?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the value of Theta when the cosine of Theta equals -1?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain why the angle Theta cannot be greater than 2π or less than 0.

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