Respuesta :

Step-by-step explanation:

[tex] \csc \theta \cos^{2}\theta + \sin \theta = \csc \theta(1 - \sin^{2}\theta) + \sin \theta[/tex]

[tex] = (\csc \theta - \sin \theta) + \sin \theta[/tex]

[tex] = \csc \theta[/tex]