High School Math : Trigonometry

Study concepts, example questions & explanations for High School Math

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Example Questions

Example Question #1 : Using The Unit Circle

What is ?

Possible Answers:

Correct answer:

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 ?

Possible Answers:

Correct answer:

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 ?

Possible Answers:

Correct answer:

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 ?

Possible Answers:

Correct answer:

Explanation:

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

Example Question #1 : Using The Unit Circle

What is ?

Possible Answers:

Correct answer:

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?

Possible Answers:

Correct answer:

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.

Possible Answers:

Correct answer:

Explanation:

Set . Calculate the polar coordinates  as follows:

Example Question #31 : Trigonometry

How many degrees are in  radians?

Possible Answers:

Correct answer:

Explanation:

Cross multiply:

Notice that the 's cancel out:

Example Question #1 : Understanding Radians And Conversions

How many radians are in ?

Possible Answers:

Correct answer:

Explanation:

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:

Explanation:

Since , we can convert as follows:

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