What is the tangent of an angle in the unit circle?

The ratio of the sine to the cosine of that angle, or $$\tan(\theta) = \frac{\sin(\theta)}{\cos(\theta)}$$ .

What are the coordinates of the point on the unit circle at $$\frac{\pi}{3}$$ radians?

$$\left(\frac{1}{2}, \frac{\sqrt{3}}{2}\right)$$ .

What are the coordinates of the point on the unit circle at $$\frac{2\pi}{3}$$ radians?

$$\left(-\frac{1}{2}, \frac{\sqrt{3}}{2}\right)$$ .

What is the relationship between the angles $$\theta$$ and $$360\degree - \theta$$ in the unit circle?

They have the same sine value but opposite cosine values.

Unit Circle Trig Functions Review Flashcards

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1.

FLASHCARD QUESTION

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CCSS.HSF.TF.A.2

2.

FLASHCARD QUESTION

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0

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CCSS.HSF.TF.A.2

3.

FLASHCARD QUESTION

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CCSS.HSF.TF.A.2

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FLASHCARD QUESTION

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0

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CCSS.HSF.TF.A.2

5.

FLASHCARD QUESTION

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CCSS.HSF.TF.A.4

6.

FLASHCARD QUESTION

Front

Define the unit circle in trigonometry.

Back

A circle with a radius of 1 centered at the origin (0,0) in the coordinate plane.

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CCSS.HSF.TF.A.2

7.

FLASHCARD QUESTION

Front

What is the sine of an angle in the unit circle?

Back

The y-coordinate of the point on the unit circle corresponding to that angle.

Tags

CCSS.HSF.TF.A.2

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