High School Math : Using Pythagorean Identities

Study concepts, example questions & explanations for High School Math

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Example Questions

Example Question #5 : Trigonometric Identities

Simplify

Possible Answers:

Correct answer:

Explanation:

.  Thus: 

Example Question #6 : Trigonometric Identities

Simplify

Possible Answers:

Correct answer:

Explanation:

 

and

 .

Example Question #7 : Trigonometric Identities

Simplify .

Possible Answers:

Correct answer:

Explanation:

Remember that . We can rearrange this to simplify our given equation:

Example Question #8 : Trigonometric Identities

Simplify:

Possible Answers:

This is the most simplified version.

Correct answer:

Explanation:

Whenever you see a trigonometric function squared, start looking for a Pythagorean identity.

The two identities used in this problem are  and .

Substitute and solve.

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