Evaluate a point of the unit circle for sine, cosine and tangent

Evaluate a point of the unit circle for sine, cosine and tangent

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to evaluate the trigonometric functions sine, cosine, and tangent for a given angle T, specifically 11π/6. It begins with an introduction to the unit circle and radians, emphasizing the importance of understanding these concepts. The tutorial then guides viewers through the process of locating 11π/6 on the unit circle and determining the corresponding coordinate points. Finally, it demonstrates how to evaluate the trigonometric functions using these points, including rationalizing the denominator for tangent.

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7 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the trigonometric functions that need to be evaluated for the angle 11π/6?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you determine the position of the angle 11π/6 on the unit circle?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the coordinate point corresponding to the angle 11π/6 on the unit circle?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how to find the sine of the angle 11π/6 using its coordinate point.

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the cosine of the angle 11π/6 and how is it derived?

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the process of calculating the tangent of the angle 11π/6.

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7.

OPEN ENDED QUESTION

3 mins • 1 pt

What steps are involved in rationalizing the denominator when calculating tangent for 11π/6?

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