Unit Circle and Radians

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Trigonometry › Unit Circle and Radians

Questions 1 - 10
1

Change the following expression to degrees:

Explanation

First we need to simplify the expression:

Now multiply by :

2

Change the following expression to degrees:

Explanation

First we need to simplify the expression:

Now multiply by :

3

Convert to degrees:

Explanation

To convert radians to degrees, we need to multiply the given radians by .

4

Convert into degrees.

Explanation

Recall that there are 360 degrees in a circle which is equivalent to radians. In order to convert between radians and degrees use the relationship that,

.

Therefore, in order to convert from radians to degrees you need to multiply by . So in this particular case,

.

5

Convert to degrees:

Explanation

To convert radians to degrees, we need to multiply the given radians by .

6

Convert into degrees.

Explanation

Recall that there are 360 degrees in a circle which is equivalent to radians. In order to convert between radians and degrees use the relationship that,

.

Therefore, in order to convert from radians to degrees you need to multiply by . So in this particular case,

.

7

Simplify and give the followoing expression in degrees:

Explanation

First we need to simplify the expression:

Then multiply by :

8

Convert into degrees.

Explanation

Recall that there are 360 degrees in a circle which is equivalent to radians. In order to convert between radians and degrees use the relationship that, .

Therefore, in order to convert from radians to degrees you need to multiply by . So in this particular case,

.

9

Simplify and give the followoing expression in degrees:

Explanation

First we need to simplify the expression:

Then multiply by :

10

Convert into degrees.

Explanation

Recall that there are 360 degrees in a circle which is equivalent to radians. In order to convert between radians and degrees use the relationship that, .

Therefore, in order to convert from radians to degrees you need to multiply by . So in this particular case,

.

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