High School Math : Trigonometry

Example Questions

Example Question #1 : Using The Unit Circle

What is ?

Explanation:

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 ?

Explanation:

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 ?

Explanation:

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 ?

Explanation:

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

Example Question #1 : Using The Unit Circle

What is ?

Explanation:

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?

Explanation:

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.

Explanation:

Set . Calculate the polar coordinates  as follows:

Example Question #31 : Trigonometry

How many degrees are in  radians?

Explanation:

Cross multiply:

Notice that the 's cancel out:

Example Question #1 : Understanding Radians And Conversions

How many radians are in ?

Explanation: