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14.3 Verifying Identities. Example 4-1a Verify that is an identity. Answer: Transform the left side. Original equation Simplify. Example:

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Presentation on theme: "14.3 Verifying Identities. Example 4-1a Verify that is an identity. Answer: Transform the left side. Original equation Simplify. Example:"— Presentation transcript:

1 14.3 Verifying Identities

2 Example 4-1a Verify that is an identity. Answer: Transform the left side. Original equation Simplify. Example:

3 Example 4-1b Verify that is an identity. Answer: Another one:

4 Example 4-2a Multiple-Choice Test Item AB C 0 D Read the Test Item Find an expression that is equal to the given expression. Example:

5 Example 4-2b Solve the Test Item Write a trigonometric identity by using the basic trigonometric identities and the definitions of trigonometric functions to transform the given expression to match one of the choices. Rewrite using the LCD,

6 Example 4-2c Subtract. Simplify. Answer: Sincethe answer is A.

7 Example 4-2e Multiple-Choice Test Item AB C 0 D Answer: B Another one:

8 Example 4-3a Verify thatis an identity. Answer: Original equation Express all terms using sine and cosine. Example: Rewrite using the LCD, Simplify the right side.

9 Example 4-3c Verify thatis an identity. Answer: Another one:

10 Example 4-3d


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