Must Know High School Trigonometry by Sandra Luna McCune

Author:Sandra Luna McCune
Language: eng
Format: epub
Publisher: McGraw-Hill Education
Published: 2020-01-13T16:00:00+00:00

A counterexample is an example that disproves a statement. We can prove that a statement is not true by substituting in a domain value that results in a false statement

The Reciprocal and Ratio Identities

The reciprocal identities are the following:

Here is an example that uses a reciprocal identity in verifying an identity.

EXAMPLE

Verify the identity: sec θ(cos θ + 1) = 1 + sec θ.

Starting with the left side, we proceed as follows:

Therefore, sec θ(cos θ + 1) = 1 + sec θ is an identity.

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