High School Math : Using the Unit Circle

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:

If you examine the unit circle, you'll see that the the . If you were to graph a sine function, you would also see that it crosses through the point .

Example Question #2 : Using The Unit Circle

What is ?

Possible Answers:

Correct answer:

Explanation:

If you look at the unit circle, you'll see that . You can also think of this as the cosine of , which is also .

Example Question #2 : Using The Unit Circle

What is ?

Possible Answers:

Correct answer:

Explanation:

If you look at the unit circle, you'll see that . You can also think of this as the sine of , which is also .

Example Question #3 : Using The Unit Circle

What is ?

Possible Answers:

Correct answer:

Explanation:

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

Example Question #4 : Using The Unit Circle

What is ?

Possible Answers:

Correct answer:

Explanation:

Using the unit circle, you can see that . If you were to graph a cosine function, you would also see that it crosses through the point .

Example Question #2 : 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 #3 : 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 #4 : 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 #21 : 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 #34 : Trigonometry

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 .

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