Learn how to evaluate the tangent of 300 degrees using the unit circle

Learn how to evaluate the tangent of 300 degrees using the unit circle

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to identify reference angles, specifically using a 300-degree angle to find its reference angle, Theta prime, which is 60 degrees. It discusses evaluating the tangent of 60 degrees using the unit circle, highlighting the coordinate point (1/2, sqrt 3/2) and the equivalence of tangent of Theta and Theta prime. The tutorial also covers determining the quadrant of a point and its impact on the sign of the tangent. Finally, it demonstrates simplifying the tangent calculation by multiplying by the reciprocal.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the reference angle when Theta is 300 degrees?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you determine the tangent of 60 degrees using the unit circle?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the coordinates of the point corresponding to 60 degrees on the unit circle?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the relationship between the tangent of Theta and the tangent of Theta prime?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how the quadrant affects the sign of the tangent value.

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