Choose the one alternative that best completes the statement or answers the question.
Complete the identity.
-$\cos ( \alpha + \beta ) \cos ( \alpha - \beta ) =$ ?
A) $\cos \left( \alpha ^ { 2 } \right) \cos \left( \beta ^ { 2 } \right) + \sin \left( \alpha ^ { 2 } \right) \sin \left( \beta ^ { 2 } \right)$
B) $2 - \sin ^ { 2 } \alpha - \sin ^ { 2 } \beta$
C) $\cos ^ { 2 } \beta - 2 \sin ^ { 2 } \alpha \sin ^ { 2 } \beta$
D) $\cos ^ { 2 } \beta - \sin ^ { 2 } \alpha$

Question

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The Answer of Choose the one alternative that best completes the statement or answers the question.
Complete the identity.
-$\cos ( \alpha + \beta ) \cos ( \alpha - \beta ) =$ ?
A) $\cos \left( \alpha ^ { 2 } \right) \cos \left( \beta ^ { 2 } \right) + \sin \left( \alpha ^ { 2 } \right) \sin \left( \beta ^ { 2 } \right)$
B) $2 - \sin ^ { 2 } \alpha - \sin ^ { 2 } \beta$
C) $\cos ^ { 2 } \beta - 2 \sin ^ { 2 } \alpha \sin ^ { 2 } \beta$
D) $\cos ^ { 2 } \beta - \sin ^ { 2 } \alpha$

Choose the One Alternative That Best Completes the Statement or Answers