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

Question

Quizplus · Accepted Answer

The identity $\frac { \sin \alpha + \sin \beta } { \cos \alpha + \cos \beta }$ simplifies to $\tan \frac { \alpha + \beta } { 2 }$ using the sum-to-product formulas for sine and cosine.

Complete the Identity sin⁡α+sin⁡βcos⁡α+cos⁡β=?\frac { \sin \alpha + \sin \beta } { \cos \alpha + \cos \beta } = ?cosα+cosβsinα+sinβ​=?

Complete the Identity $\frac { \sin \alpha + \sin \beta } { \cos \alpha + \cos \beta } = ?$