Precalculus : Sum and Difference Identities For Tangent

Study concepts, example questions & explanations for Precalculus

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Example Questions

Example Question #203 : Pre Calculus

In the problem below, and .


Find

.

Possible Answers:

Correct answer:

Explanation:

Since and is in quadrant I, we can say that and and therefore: 

So
.

Since and is in quadrant I, we can say that and and therefore: 

.  

So

Using the tangent sum formula, we see:

 

Example Question #204 : Pre Calculus

In the problem below, and .


Find

.

Possible Answers:

Correct answer:

Explanation:

Since and is in quadrant I, we can say that and and therefore: 

So .

Since and is in quadrant I, we can say that and and therefore: 

So .

Using the tangent sum formula, we see:

Example Question #205 : Pre Calculus

Given that and , find .

Possible Answers:

Correct answer:

Explanation:

Jump straight to the tangent sum formula:

From here plug in the given values and simplify.

Example Question #1 : Trigonometric Identities

Which of the following expressions best represents ?

Possible Answers:

Correct answer:

Explanation:

Write the identity for .

Set the value of the angle equal to .

Substitute the value of  into the identity.

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