if sin(theta)<0 and tan(theta)<0 then:

Question

3.) if sin(theta)<0 and tan(theta)<0 then:
A) 0 degrees< theta<90 degrees
B) 90degrees<theta<180degrees
C) 180 degrees<theta<270degrees
D)270degrees<theta<360degrees

???? I don't understand this question!

Answer 1

Hi Cece, 

 

The question is asking you to determine the corresponding angle measures that would yield negative values for both sine and tangent.  

 

We know that sine is negative in quadrants 3 and 4.

Similarly, we know that tangent is negative in quadrants 2 and 4.

 

Based on the above, we can see that both sine and tangent are negative in quadrant 4.  Angle measures in quadrant 4 are between 270 and 360 degrees, corresponding with answer  choice D.