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7.2.2E: Identidades de suma y resta (ejercicios)
https://espanol.libretexts.org/Matematicas/Precalculo_y_Trigonometria/Libro%3A_Prec%C3%A1lculo_-_Una_investigaci%C3%B3n_de_funciones_(Lippman_y_Rasmussen)/07%3A_Ecuaciones_trigonom%C3%A9tricas_e_identidades/7.02%3A_Identidades_de_suma_y_resta/7.2.2E%3A_Identidades_de_suma_y_resta_(ejercicios)
48. \(\dfrac{\tan \left(a+b\right)}{\tan \left(a-b\right)} =\dfrac{\sin \left(a\right)\cos \left(a\right)+\sin \left(b\right)\cos \left(b\right)}{\sin \left(a\right)\cos \left(a\right)-\sin \left(b\ri...48. $\dfrac{\tan \left(a+b\right)}{\tan \left(a-b\right)} =\dfrac{\sin \left(a\right)\cos \left(a\right)+\sin \left(b\right)\cos \left(b\right)}{\sin \left(a\right)\cos \left(a\right)-\sin \left(b\right)\cos \left(b\right)}$ 50. $\dfrac{\sin \left(x\right)+\sin \left(y\right)}{\cos \left(x\right)+\cos \left(y\right)} =\tan \left(\dfrac{1}{2} \left(x+y\right)\right)$ $\cos (\alpha )\cos (\beta )=\dfrac{1}{2} \left(\cos (\alpha +\beta )+\cos (\alpha -\beta )\right)$

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