# High School Math : Trigonometry

## Example Questions

### Example Question #31 : The Unit Circle And Radians

Convert  to degrees.

Explanation:

Multiply by  and then simplify. The answer is

### Example Question #31 : The Unit Circle And Radians

How many radians are in ?

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?

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?

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)?

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)?

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)?

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)?

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)?

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 ?