Respuesta :

Answer:

[tex]90\degree < \theta < 180\degree[/tex]

Step-by-step explanation:

We were given [tex]sin \theta>0[/tex] and [tex]tan \theta <0[/tex].

This means that the sine ratio is positive and the tangent ratio is negative.

The sine ratio is positive in the first and second quadrant.

Since the tangent ratio is negative, the angle [tex]\theta[/tex] is  in the second quadrant.

The correct answer is [tex]90\degree < \theta < 180\degree[/tex]