Establish the identity StartFraction sine theta plus sine 7 theta Over sine theta minus sine 7 theta EndFraction equals negative StartFraction tangent left parenthesis 4 theta right parenthesis Over tangent 3 theta EndFraction
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Part 1
Which of the following statements establishes the identity?
A.StartFraction sine theta plus sine 7 theta Over sine theta minus sine 7 theta EndFraction equals StartStartFraction 2 sine StartFraction theta plus 7 theta Over 2 EndFraction cosine StartFraction theta minus 7 theta Over 2 EndFraction OverOver 2 sine StartFraction theta minus 7 theta Over 2 EndFraction cosine StartFraction theta plus 7 theta Over 2 EndFraction EndEndFraction equals negative StartFraction tangent left parenthesis 4 theta right parenthesis Over tangent 3 theta EndFraction
StartFraction sine theta plus sine 7 theta Over sine theta minus sine 7 theta EndFraction equals StartStartFraction 2 sine StartFraction theta plus 7 theta Over 2 EndFraction cosine StartFraction theta minus 7 theta Over 2 EndFraction OverOver 2 sine StartFraction theta minus 7 theta Over 2 EndFraction cosine StartFraction theta plus 7 theta Over 2 EndFraction EndEndFraction equals negative StartFraction tangent left parenthesis 4 theta right parenthesis Over tangent 3 theta EndFraction
B.StartFraction sine theta plus sine 7 theta Over sine theta minus sine 7 theta EndFraction equals StartStartFraction 2 cosine StartFraction theta plus 7 theta Over 2 EndFraction cosine StartFraction theta minus 7 theta Over 2 EndFraction OverOver negative 2 sine StartFraction theta plus 7 theta Over 2 EndFraction sine StartFraction theta minus 7 theta Over 2 EndFraction EndEndFraction equals negative StartFraction tangent left parenthesis 4 theta right parenthesis Over tangent 3 theta EndFraction
StartFraction sine theta plus sine 7 theta Over sine theta minus sine 7 theta EndFraction equals StartStartFraction 2 cosine StartFraction theta plus 7 theta Over 2 EndFraction cosine StartFraction theta minus 7 theta Over 2 EndFraction OverOver negative 2 sine StartFraction theta plus 7 theta Over 2 EndFraction sine StartFraction theta minus 7 theta Over 2 EndFraction EndEndFraction equals negative StartFraction tangent left parenthesis 4 theta right parenthesis Over tangent 3 theta EndFraction
C.StartFraction sine theta plus sine 7 theta Over sine theta minus sine 7 theta EndFraction equals StartStartFraction negative 2 sine StartFraction theta plus 7 theta Over 2 EndFraction cosine StartFraction theta minus 7 theta Over 2 EndFraction OverOver 2 sine StartFraction theta minus 7 theta Over 2 EndFraction cosine StartFraction theta plus 7 theta Over 2 EndFraction EndEndFraction equals negative StartFraction tangent left parenthesis 4 theta right parenthesis Over tangent 3 theta EndFraction
StartFraction sine theta plus sine 7 theta Over sine theta minus sine 7 theta EndFraction equals StartStartFraction negative 2 sine StartFraction theta plus 7 theta Over 2 EndFraction cosine StartFraction theta minus 7 theta Over 2 EndFraction OverOver 2 sine StartFraction theta minus 7 theta Over 2 EndFraction cosine StartFraction theta plus 7 theta Over 2 EndFraction EndEndFraction equals negative StartFraction tangent left parenthesis 4 theta right parenthesis Over tangent 3 theta EndFraction
Which of the following statements establishes the identity?
The correct answer is C.
StartFraction sine theta plus sine 7 theta Over sine theta minus sine 7 theta EndFraction equals StartStartFraction negative 2 sine StartFraction theta plus 7 theta Over 2 EndFraction cosine StartFraction theta minus 7 theta Over 2 EndFraction OverOver 2 sine StartFraction theta minus 7 theta Over 2 EndFraction cosine StartFraction theta plus 7 theta Over 2 EndFraction EndEndFraction equals negative StartFraction tangent left parenthesis 4 theta right parenthesis Over tangent 3 theta EndFraction
Craig Johnson is a Dentist in Minnesota and can be reached with a phone number with an area code of 218. What is his NPI number?
The National Provider Identifier (NPI) is a unique 10-digit identification number issued to healthcare providers in the United States. The NPI number is typically not directly related to a specific phone number or location.
To find Craig Johnson's NPI number, you would need more specific information such as his full name, practice location, and other identifying details. The NPI number is not typically determined by a provider's phone number or location area code. I recommend reaching out directly to Craig Johnson's practice or searching for his specific NPI number through a healthcare provider directory like the National Plan & Provider Enumeration System (NPPES).