# Precalculus : Trigonometric Functions

## Example Questions

### Example Question #4 : Convert Between Degrees And Radians

Explanation:

To solve this problem, we need to know that

we can arrive to our answer by using this formula:

### Example Question #5 : Convert Between Degrees And Radians

Convert  to degrees.

Explanation:

In order to solve this problem, we need to know that

we can arrive to our answer by using this formula:

### Example Question #6 : Convert Between Degrees And Radians

Explanation:

To convert from degrees into radians,

multiply the angle in degrees by

### Example Question #7 : Convert Between Degrees And Radians

Convert the following to degrees:

Explanation:

To convert, multiply by the conversion factor .

### Example Question #8 : Convert Between Degrees And Radians

Explanation:

To convert between degrees and radians, you must use the following conversion factor 180 degrees = pi radians.

Therefore:

### Example Question #1 : Convert Between Degrees And Radians

Explanation:

To convert from degrees to radians, multiply the input by:

In this case:

### Example Question #10 : Convert Between Degrees And Radians

Please convert the following angle to degrees:

Explanation:

To convert from radians to degrees, multiply the input by .

In this case:

### Example Question #11 : Angle Measures In Degrees And Radians

Convert  radians to degrees.  Round to the nearest integer.

Explanation:

In order to convert from radians to degrees, we will need to know how many degrees are in a radian.

Substitute 180 as a replacement for .

### Example Question #12 : Angle Measures In Degrees And Radians

Explanation:

To convert degrees to radians we must recall the conversion factor. Remember that .

Therefore, we can create the following fraction and solve for the missing variable.

### Example Question #13 : Angle Measures In Degrees And Radians

Megan, a civil engineer, measures the angle made by the angle of a road. She finds the angle to be . What is the angle in radians?