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Published byDwayne Rodgers Modified over 9 years ago
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14.3 Verifying Identities
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Example 4-1a Verify that is an identity. Answer: Transform the left side. Original equation Simplify. Example:
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Example 4-1b Verify that is an identity. Answer: Another one:
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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:
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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,
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Example 4-2c Subtract. Simplify. Answer: Sincethe answer is A.
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Example 4-2e Multiple-Choice Test Item AB C 0 D Answer: B Another one:
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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.
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Example 4-3c Verify thatis an identity. Answer: Another one:
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Example 4-3d
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