14.3 verifying identities. example 4-1a verify that is an identity. answer: transform the left side....

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14.3 14.3 Verifying Identities Verifying Identities

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

14.314.3

Verifying IdentitiesVerifying Identities

Page 2: 14.3 Verifying Identities. Example 4-1a Verify that is an identity. Answer: Transform the left side. Original equation Simplify. Example:

Verify that is an identity.

Answer:Transform the left side.

Original equation

Simplify.

Example:

Page 3: 14.3 Verifying Identities. Example 4-1a Verify that is an identity. Answer: Transform the left side. Original equation Simplify. Example:

Verify that is an identity.

Answer:

Another one:

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

Multiple-Choice Test Item

A B

C 0 D

Read the Test ItemFind an expression that is equal to the given expression.

Example:

Page 5: 14.3 Verifying Identities. Example 4-1a Verify that is an identity. Answer: Transform the left side. Original equation Simplify. Example:

Solve the Test ItemWrite 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 usingthe LCD,

Page 6: 14.3 Verifying Identities. Example 4-1a Verify that is an identity. Answer: Transform the left side. Original equation Simplify. Example:

Subtract.

Simplify.

Answer: Since the answer is A.

Page 7: 14.3 Verifying Identities. Example 4-1a Verify that is an identity. Answer: Transform the left side. Original equation Simplify. Example:

Multiple-Choice Test Item

A B

C 0 D

Answer: B

Another one:

Page 8: 14.3 Verifying Identities. Example 4-1a Verify that is an identity. Answer: Transform the left side. Original equation Simplify. Example:

Verify that is an identity.

Answer:

Original equation

Express all termsusing sine and cosine.

Example:

Rewrite using the LCD,

Simplify theright side.

Page 9: 14.3 Verifying Identities. Example 4-1a Verify that is an identity. Answer: Transform the left side. Original equation Simplify. Example:

Verify that is an identity.

Answer:

Another one:

Page 10: 14.3 Verifying Identities. Example 4-1a Verify that is an identity. Answer: Transform the left side. Original equation Simplify. Example: