Complete the identity.
-$\sin ( \alpha + \beta ) \sin ( \alpha - \beta ) =$ ?
A) $\cos ^ { 2 } \beta - \cos ^ { 2 } \alpha$
B) $\sin ^ { 2 } \alpha - \cos ^ { 2 } \beta$
C) $\cos ^ { 2 } \beta + \cos ^ { 2 } \alpha$
D) $\sin ^ { 2 } \beta - \sin ^ { 2 } \alpha$

Question

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Using trigonometric identities, $\sin ( \alpha + \beta ) \sin ( \alpha - \beta ) = \frac{1}{2} [ \cos(2\beta) - \cos(2\alpha) ] = \cos ^ { 2 } \beta - \cos ^ { 2 } \alpha$.

Complete the Identity sin⁡(α+β)sin⁡(α−β)=\sin ( \alpha + \beta ) \sin ( \alpha - \beta ) =sin(α+β)sin(α−β)=

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