### All High School Math Resources

## Example Questions

### Example Question #1 : Using The Unit Circle

What is ?

**Possible Answers:**

**Correct answer:**

Using the unit circle, . You can also think of this as the sine of , which would also be .

### Example Question #7 : Using The Unit Circle

What is ?

**Possible Answers:**

**Correct answer:**

Using the unit circle, you can see that the . Since the angle is in Qudrant II, sine is positive and cosine is negative.

### Example Question #1 : Using The Unit Circle

What is ?

**Possible Answers:**

**Correct answer:**

Using the unit circle, . You can also think of this as the sine of , which would also be .

### Example Question #22 : Graphing The Sine And Cosine Functions

What is ?

**Possible Answers:**

**Correct answer:**

If you examine the unit circle, you'll see that that .

### Example Question #1 : Using The Unit Circle

What is ?

**Possible Answers:**

**Correct answer:**

If you examine the unit circle, you'll see that the value of . You can also get this by examining a cosine graph and you'll see it crosses the point .

### Example Question #11 : The Unit Circle And Radians

What is the value of the angle radians when converted to degrees?

**Possible Answers:**

**Correct answer:**

The answer can be found using the conversion of 1 radian equals degrees. Multiplying by this conversion factor gives 270 degrees.

### Example Question #1 : Understanding Radians And Conversions

A point has Cartesian coordinates . Rewrite this as an ordered pair in the polar coordinate plane, rounding the coordinates to the nearest hundredth.

**Possible Answers:**

**Correct answer:**

Set . Calculate the polar coordinates as follows:

### Example Question #31 : Trigonometry

How many degrees are in radians?

**Possible Answers:**

**Correct answer:**

Cross multiply:

Notice that the 's cancel out:

### Example Question #1 : Understanding Radians And Conversions

How many radians are in ?

**Possible Answers:**

**Correct answer:**

The relationship between degrees and radians is radians. Therefore, would be radians.

### Example Question #1 : Understanding Radians And Conversions

Express in radians:

**Possible Answers:**

**Correct answer:**

Since , we can convert as follows: