# High School Math : Trigonometry

## Example Questions

### Example Question #51 : Trigonometry

How many radians are in ?

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 ?

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?

Explanation:

### Example Question #53 : Trigonometry

How many radians are in ?

Explanation:

### Example Question #54 : Trigonometry

How many degrees are in  radians?

Explanation:

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?

Explanation:

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?

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?

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 ?

Explanation:

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

### Example Question #60 : Trigonometry

Explanation:

Multiply the given degrees measurement by .

Simplify and you get