What is the unit circle?

A circle with a radius of 1 centered at the origin of the coordinate plane.

6.1 Angles & Radian Measure Flashcard Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

Convert 70 degrees to radians in terms of pi.

Back

$\frac{7\pi}{18}$

2.

FLASHCARD QUESTION

Front

Convert $\frac{-2\pi}{5}$ radians to degrees.

Back

-72 degrees

3.

FLASHCARD QUESTION

Front

Evaluate $\cot\ \frac{3\pi}{2}$ using the unit circle.

Back

0

4.

FLASHCARD QUESTION

Front

Convert $\frac{\pi}{12}$ radians to degrees.

Back

15 degrees

5.

FLASHCARD QUESTION

Front

Convert -42 degrees to radians in terms of pi.

Back

$\frac{-7\pi}{30}$

6.

FLASHCARD QUESTION

Front

What is the relationship between degrees and radians?

Back

1 radian = $\frac{180}{\pi}$ degrees.

7.

FLASHCARD QUESTION

Front

How many radians are in a full circle?

Back

2 pi radians.

8.

FLASHCARD QUESTION

Front

What is the formula to convert degrees to radians?

Back

$radians = degrees \times \frac{\pi}{180}$ .

9.

FLASHCARD QUESTION

Front

What is the formula to convert radians to degrees?

Back

$degrees = radians \times \frac{180}{\pi}$ .

10.

FLASHCARD QUESTION

Front

What is the value of $\sin\ \frac{\pi}{2}$ ?

Back

1

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