Complete the Identity $\sin ( \alpha + \beta ) \cos ( \alpha - \beta ) =$

question 55

Multiple Choice

Complete the identity.
- $\sin ( \alpha + \beta ) \cos ( \alpha - \beta ) =$ ?

• A) \(\sin \alpha \cos \alpha - \sin \alpha \cos \beta + \sin \beta \cos \alpha + \sin \beta \cos \beta\)
• B) \(\sin ^ { 2 } \alpha \cos ^ { 2 } \beta - \sin ^ { 2 } \beta \cos ^ { 2 } \alpha\)
• C) \(\sin \alpha \cos \alpha + \sin \beta \cos \beta\)
• D) \(\sin ^ { 2 } \alpha - \cos ^ { 2 } \beta\)

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