(Steps Shown) Prove that (sin (α +β)+ cos (α -β))/(cos (α +β)- sin (α -β))=(sin α + cos α
Question: Prove that
\[\frac{\sin \left( \alpha +\beta \right)+\cos \left( \alpha -\beta \right)}{\cos \left( \alpha +\beta \right)-\sin \left( \alpha -\beta \right)}=\frac{\sin \alpha +\cos \alpha }{\cos \alpha -\sin \alpha }\]
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