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

Question

Quizplus · Accepted Answer

The formula transforms the difference of two sines into the product of a sine and a cosine expression.

Fill in the Blank Using the Word Product, Sum, Quotient sin⁡α−sin⁡β=2sin⁡α−β2cos⁡α+β2\sin \alpha - \sin \beta = 2 \sin \frac { \alpha - \beta } { 2 } \cos \frac { \alpha + \beta } { 2 }sinα−sinβ=2sin2α−β​cos2α+β​

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