Precalculus : Prove Trigonometric Identities

Study concepts, example questions & explanations for Precalculus

varsity tutors app store varsity tutors android store

Example Questions

Example Question #1 : Proving Trig Identities

Simplify:  

Possible Answers:

Correct answer:

Explanation:

To simplify , find the common denominator and multiply the numerator accordingly.

The numerator is an identity.

Substitute the identity and simplify.

 

Example Question #2 : Proving Trig Identities

Evaluate in terms of sines and cosines:  

Possible Answers:

Correct answer:

Explanation:

Convert  into its sines and cosines.

Example Question #3 : Proving Trig Identities

Please choose the best answer from the following choices.

Simplify the following:

Possible Answers:

Already in simplified form.

Correct answer:

Explanation:

First factor out sine x.

Notice that a Pythagorean Identity is present.

The identity needed for this problem is: 

Using this identity the equation becomes,

.

 

Learning Tools by Varsity Tutors

Incompatible Browser

Please upgrade or download one of the following browsers to use Instant Tutoring: