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.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the reference angle for Theta when it is 300 degrees?

90 degrees

60 degrees

120 degrees

30 degrees

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is 60 degrees represented in radians?

π/2

π/4

π/6

π/3

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is the tangent of Theta equivalent to the tangent of Theta prime?

Because they have the same cosine value

Because they have the same sine value

Because they have the same reference angle

Because they are in the same quadrant

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In which quadrant is the point when Theta is 300 degrees?

Third Quadrant

First Quadrant

Fourth Quadrant

Second Quadrant

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the simplified form of the tangent expression for Theta?

1/sqrt(3)

-1/sqrt(3)

sqrt(3)

-sqrt(3)