Can someone help with this? I have been stuck on it for a long time.

Question:

Find tan(theta) if sin(theta) = -1 and 0 [less than or equal too] theta < 2pi radians.

Thanks!

Respuesta :

Answer:

225° or 315°

Step-by-step explanation:

If sin Ф = -1, Ф must be in Quadrant III or Quadrant IV.  

sin Ф = (opposite side) / hypotenuse.  The opposite side is negative only in Quadrant III and Quadrant IV.

The angle Ф is either 225° or 315°