Fill in the blank using the word product, sum, quotient, or difference.
-The formula $\sin \alpha \cos \beta = \frac { 1 } { 2 } [ \sin ( \alpha + \beta ) + \sin ( \alpha - \beta ) ]$ can be used to change aــــــــــــــ of a sine and a cosine into the ــــــــــ of two sine expressions.
A) product, sum
B) product, difference
C) quotient, sum
D) quotient, difference

Question

Quizplus · Accepted Answer

The formula $\sin \alpha \cos \beta = \frac { 1 } { 2 } [ \sin ( \alpha + \beta ) + \sin ( \alpha - \beta ) ]$ can be used to change a product of a sine and a cosine into the sum of two sine expressions.

Fill in the Blank Using the Word Product, Sum, Quotient sin⁡αcos⁡β=12[sin⁡(α+β)+sin⁡(α−β)]\sin \alpha \cos \beta = \frac { 1 } { 2 } [ \sin ( \alpha + \beta ) + \sin ( \alpha - \beta ) ]sinαcosβ=21​[sin(α+β)+sin(α−β)]

Fill in the Blank Using the Word Product, Sum, Quotient $\sin \alpha \cos \beta = \frac { 1 } { 2 } [ \sin ( \alpha + \beta ) + \sin ( \alpha - \beta ) ]$