14.3 verifying identities. example 4-1a verify that is an identity. answer: transform the left side....
TRANSCRIPT
14.314.3
Verifying IdentitiesVerifying Identities
Verify that is an identity.
Answer:Transform the left side.
Original equation
Simplify.
Example:
Verify that is an identity.
Answer:
Another one:
Multiple-Choice Test Item
A B
C 0 D
Read the Test ItemFind an expression that is equal to the given expression.
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,
Subtract.
Simplify.
Answer: Since the answer is A.
Multiple-Choice Test Item
A B
C 0 D
Answer: B
Another one:
Verify that is an identity.
Answer:
Original equation
Express all termsusing sine and cosine.
Example:
Rewrite using the LCD,
Simplify theright side.
Verify that is an identity.
Answer:
Another one: