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):

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