High School Math : Trigonometry

Study concepts, example questions & explanations for High School Math

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Example Questions

Example Question #31 : The Unit Circle And Radians

Convert  to degrees. 

Possible Answers:

Correct answer:

Explanation:

Multiply by  and then simplify. The answer is 

Example Question #31 : The Unit Circle And Radians

How many radians are in ?

Possible Answers:

Correct answer:

Explanation:

The ratio of degrees to radians is . Set up a proportion and solve.

Example Question #32 : The Unit Circle And Radians

How many degrees are in  radians?

Possible Answers:

Correct answer:

Explanation:

The conversion between radians and degrees is . We can use this as a ratio to solve:

Cross multipy.

Notice that the 's cancel out.

Example Question #61 : Trigonometry

How many degrees are in radians?

Possible Answers:

Correct answer:

Explanation:

The conversion between radians and degrees is . We can then create a ratio to solve:

Cross multipy:

Notice that the 's cancel out.

Example Question #61 : Trigonometry

If Angle  equals , what is the equivalent angle in radians (to the nearest hundredth)? 

Possible Answers:

Correct answer:

Explanation:

To convert between radians and degrees, it is important to remember that: 

With this relationship in mind, we can convert from degrees to radians with the following formula:


 

Example Question #31 : Understanding Radians And Conversions

If angle  equals , what is the equivalent angle in radians (to the nearest hundredth)?

Possible Answers:

Correct answer:

Explanation:

To convert between radians and degrees, it is important to remember that: 

With this relationship in mind, we can convert from degrees to radians with the following formula:


 

Example Question #31 : Understanding Radians And Conversions

If equals , what is the equivalent angle in radians (to the nearest hundredth)? 

Possible Answers:

Correct answer:

Explanation:

To convert between radians and degrees, it is important to remember that: 

With this relationship in mind, we can convert from degrees to radians with the following formula:

Example Question #32 : Understanding Radians And Conversions

If is , what is the equivalent angle in radians (to the nearest hundredth)? 

Possible Answers:

Correct answer:

Explanation:

To convert between radians and degrees, it is important to remember that:

With this relationship in mind, we can convert from degrees to radians with the following formula:


 

Example Question #32 : Understanding Radians And Conversions

If an angle is , what is the equivalent angle in radians (to the nearest hundredth)? 

Possible Answers:

Correct answer:

Explanation:

To convert between radians and degrees, it is important to remember that: 

With this relationship in mind, we can convert from degrees to radians with the following formula:

Example Question #33 : Understanding Radians And Conversions

What angle below is equivalent to ?

Possible Answers:

Correct answer:

Explanation:

To convert between radians and degrees, it is important to remember that: 

With this relationship in mind, we can convert from degrees to radians with the following formula:


 

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