Trigonometry : Trigonometric Functions

Study concepts, example questions & explanations for Trigonometry

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Example Questions

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Example Question #2 : Graphing The Sine And Cosine Functions

Rt_triangle_letters

In this figure, if angle , side , and side , what is the measure of angle ?

Possible Answers:

Undefined

Correct answer:

Explanation:

Since , we know we are working with a right triangle.

That means that .

In this problem, that would be:

Plug in our given values:

Example Question #75 : Trigonometry

If , give the value of .

 

 

Possible Answers:

Correct answer:

Explanation:

Use the identity .  

Now we should divide both sides by :

We can use the identity   .


 

or

 

 

 

Example Question #1 : Trigonometric Functions And Graphs

If , find the value of .

Possible Answers:

Correct answer:

Explanation:

Therefore, .

Example Question #1 : Trigonometric Functions

If  , find the value of  .

Possible Answers:

Correct answer:

Explanation:

Example Question #1 : Trigonometric Functions

Find the value of the following expression:

Possible Answers:

Correct answer:

Explanation:

We know that .
 

Example Question #2 : Trigonometric Functions

If , give :

Possible Answers:

Correct answer:

Explanation:

We need to use the identity :

Example Question #6 : Trigonometric Functions And Graphs

Give the value of .

Possible Answers:

Correct answer:

Explanation:

We need to use the identity :

Example Question #1 : Trigonometric Functions

Find .

Possible Answers:

Correct answer:

Explanation:

We need to use the identity :

Example Question #4 : Trigonometric Functions

If , give in terms of .

Possible Answers:

Correct answer:

Explanation:

We need to use the identity .

Example Question #6 : Trigonometric Functions And Graphs

If , find the value of in terms of .

Possible Answers:

Correct answer:

Explanation:

Since , we can use a double angle formula:

Substituting , we get .

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