Trigonometry : Simplifying Trigonometric Functions

Study concepts, example questions & explanations for Trigonometry

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Example Questions

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Example Question #1 : Simplifying Trigonometric Functions

Simplify the following trionometric function:

Possible Answers:

Correct answer:

Explanation:

To solve the problem, you need to know the following information:

Replace the trigonometric functions with these values:

Example Question #1 : Simplifying Trigonometric Functions

Simplify the following trigonometric function in fraction form:

Possible Answers:

Correct answer:

Explanation:

To determine the value of the expression, you must know the following trigonometric values:

Replacing these values, we get:

Example Question #2 : Simplifying Trigonometric Functions

Possible Answers:

Correct answer:

Explanation:

Example Question #3 : Simplifying Trigonometric Functions

Simplify the following expression:

Possible Answers:

Correct answer:

Explanation:

We need to use the following identities:

Use these to simplify the expression as follows:

Example Question #5 : Simplifying Trigonometric Functions

Give the value of :

Possible Answers:

Correct answer:

Explanation:

Plug these values in:

 

 

Example Question #28 : Trigonometric Functions

If , solve for

Possible Answers:

Correct answer:

Explanation:

Substitute into the expression:

Example Question #6 : Simplifying Trigonometric Functions

If , give the value of :

Possible Answers:

Correct answer:

Explanation:

 

Now substitute into the expression:

 

Example Question #4 : Simplifying Trigonometric Functions

Simplify the following expression:

Possible Answers:

Correct answer:

Explanation:

We need to use the following identitities:

Now substitute them into the expression:

Example Question #8 : Simplifying Trigonometric Functions

If  and , give the value of .

Possible Answers:

Correct answer:

Explanation:

Based on the double angle formula we have, .

 

Example Question #105 : Trigonometry

If , give the value of .

Possible Answers:

Correct answer:

Explanation:

Now we can write:

Now we can substitute the values:

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