High School Math : Trigonometry

Study concepts, example questions & explanations for High School Math

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Example Questions

Example Question #51 : Trigonometry

How many radians are in ?

Possible Answers:

Correct answer:

Explanation:

The conversion for radians is , so we can make a ratio:

Cross multiply:

Isolate :

Reduce:

Example Question #52 : Trigonometry

How many radians are in ?

Possible Answers:

Correct answer:

Explanation:

The conversion for radians is , so we can make a ratio:

Cross multiply:

Isolate :

Reduce:

Example Question #53 : Trigonometry

How many degrees are in  radians?

Possible Answers:

Correct answer:

Explanation:

Remember,  radians, so  radians would correspond to .

Example Question #53 : Trigonometry

How many radians are in ?

Possible Answers:

Correct answer:

Explanation:

The ratio between radians and degrees is  radians. 

Since the question asks us about , the conversion tells us it will be  radians.

Example Question #54 : Trigonometry

How many degrees are in  radians?

Possible Answers:

Correct answer:

Explanation:

The ratio between radians and degrees is  radians.

That means we can set up a proportion:

Notice that the 's cancel out.

 

Example Question #21 : Understanding Radians And Conversions

How many degrees are in  radians?

Possible Answers:

Correct answer:

Explanation:

The ratio between radians and degrees is  radians.

That means we can set up a proportion:

Notice that the 's cancel out.

Example Question #22 : Understanding Radians And Conversions

How many degrees are in  radians?

Possible Answers:

Correct answer:

Explanation:

The conversion rate for degrees and radians is  .

Set up a proportion to solve.

Cross multiply.

Notice that the  cancels out.

Example Question #31 : The Unit Circle And Radians

How many degrees are in radians?

Possible Answers:

Correct answer:

Explanation:

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

Notice that the 's cancel out.

Example Question #24 : Understanding Radians And Conversions

How many radians are in ?

Possible Answers:

Correct answer:

Explanation:

The relationship between degrees and radians is . We can set this up as a proportion to solve:

Example Question #60 : Trigonometry

Convert  to radians. 

Possible Answers:

Correct answer:

Explanation:

Multiply the given degrees measurement by .

Simplify and you get

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