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

The coordinates are ( $$\frac{1}{2}$$ , $$\frac{\text{√3}}{2}$$ ).

What is a coterminal angle?

Coterminal angles are angles that share the same terminal side when drawn in standard position, differing by full rotations of 360 degrees or $$2\text{π}$$ radians.

How do you find a coterminal angle?

To find a coterminal angle, add or subtract multiples of 360 degrees or $$2\text{π}$$ radians.

What is the angle in degrees and radians for the point at 270 degrees?

The angle is 270 degrees or $$\frac{3\text{π}}{2}$$ radians.

What is the reference angle for 300 degrees?

The reference angle for 300 degrees is 60 degrees.

What is the sine of $$\frac{\text{π}}{4}$$ radians?

The sine of $$\frac{\text{π}}{4}$$ radians is $$\frac{\text{√2}}{2}$$ .

What is the tangent of $$\frac{\text{π}}{3}$$ radians?

The tangent of $$\frac{\text{π}}{3}$$ radians is $$\text{√3}$$ .

What is the angle in degrees and radians for the point at 225 degrees?

The angle is 225 degrees or $$\frac{5\text{π}}{4}$$ radians.

Unit Circle Practice Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is the definition of a radian?

Back

A radian is the angle subtended at the center of a circle by an arc whose length is equal to the radius of the circle.

2.

FLASHCARD QUESTION

Front

Convert 180 degrees to radians.

Back

Tags

CCSS.HSF.TF.A.1

3.

FLASHCARD QUESTION

Front

What is the relationship between degrees and radians?

Back

Tags

CCSS.HSF.TF.A.1

4.

FLASHCARD QUESTION

Front

What is the unit circle?

Back

The unit circle is a circle with a radius of 1 centered at the origin of a coordinate plane, used to define trigonometric functions.

Tags

CCSS.HSF.TF.A.2

5.

FLASHCARD QUESTION

Front

What are the coordinates of the point at 0 radians on the unit circle?

Back

The coordinates are (1, 0).

Tags

CCSS.HSF.TF.A.2

6.

FLASHCARD QUESTION

Front

Back

The coordinates are (0, 1).

Tags

CCSS.HSF.TF.A.2

7.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSF.TF.A.2

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