Hola!
Respuesta:
Queda verificada
Explicación paso a paso:
■ Solución:
[tex] \sin \theta + \cos \theta \cot \theta = \csc \theta \\ \\ \sin \theta + \cos \theta \times \frac{ \cos \theta}{\sin \theta }= \frac{1}{ \sin \theta} \\ \\ \sin\theta + \frac{ { \cos}^{2} \theta}{ \sin \theta} = \frac{1}{ \sin \theta} \\ \\ \frac{ { \sin}^{2} \theta + { \cos}^{2} \theta}{ \sin \theta } = \frac{1}{ \sin \theta} \\ \\ { \sin}^{2} \theta + { \cos}^{2} \theta = 1 \\ \\ 1 = 1[/tex]
