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3.3.6: Resolver ecuaciones trigonométricas usando fórmulas de suma y diferencia
https://espanol.libretexts.org/Educacion_Basica/Trigonometria/03%3A_Identidades_trigonom%C3%A9tricas/3.03%3A_Identidades_de_suma_y_diferencia/3.3.06%3A_Resolver_ecuaciones_trigonom%C3%A9tricas_usando_f%C3%B3rmulas_de_suma_y_diferencia
\ sin x\ cos\ dfrac {\ pi} {4} +\ cos x\ sin\ dfrac {\ pi} {4} +1 &=\ sin dfrac\ {\ pi} {4}\ cos x-\ cos\ dfrac {\ pi} {4}\ sin x\ \ sin\ dfrac {\ pi} {6}\ cos x-\ cos\ dfrac {\ pi} {6}\ sin x+1 &=\ s...\ sin x\ cos\ dfrac {\ pi} {4} +\ cos x\ sin\ dfrac {\ pi} {4} +1 &=\ sin dfrac\ {\ pi} {4}\ cos x-\ cos\ dfrac {\ pi} {4}\ sin x\ \ sin\ dfrac {\ pi} {6}\ cos x-\ cos\ dfrac {\ pi} {6}\ sin x+1 &=\ sin x\ cos\ dfrac {\ pi} {6} +\ cos x\ sin\ dfrac {\ pi} {6}\ $\begin{aligned} \cos \left(\dfrac{\pi}{2}+x \right)&=\tan \dfrac{\pi}{4} \\ \cos \dfrac{\pi}{2}\cos x−\sin \dfrac{\pi}{2}\sin x&=1 \\ −\sin x&=1 \\ \sin x &=−1\\ x&=\dfrac{3 \pi}{2} \end{aligned}$

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