Precalculus : Trigonometric Functions

Study concepts, example questions & explanations for Precalculus

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Example Questions

Example Question #4 : Convert Between Degrees And Radians

Convert  to radians.

Possible Answers:

Correct answer:

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.

Possible Answers:

Correct answer:

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

Find  expressed as radians.

Possible Answers:

Correct answer:

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:

Possible Answers:

Correct answer:

Explanation:

To convert, multiply by the conversion factor .

Example Question #8 : Convert Between Degrees And Radians

Convert  degrees into radians.

Possible Answers:

Correct answer:

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

Please convert the following from degrees to radians: 

 

Possible Answers:

Correct answer:

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:

Possible Answers:

Correct answer:

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.

Possible Answers:

Correct answer:

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 .

The correct answer is .

Example Question #12 : Angle Measures In Degrees And Radians

Convert  to radians.

Possible Answers:

Correct answer:

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?

Possible Answers:

Correct answer:

Explanation:

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?

To convert from degrees to radians, use the following formula:

Where  and  stand for degrees and radians, respectively.

So we get

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