If sin A + sin B = α and cos A + cos B = β,
Question:
If $\sin A+\sin B=\alpha$ and $\cos A+\cos B=\beta$, then write the value of $\tan \left(\frac{A+B}{2}\right)$
Solution:
Given:
sin A + sin B = α .....(i)
cos A + cos B = β .....(ii)
Dividing (i) by (ii):