asked 104k views
2 votes
If sin(theta) < 0 and tan(theta) > 0 then:

A. 0 degree < (theta) < 90 degrees
B. 90 degrees < (theta) < 180 degrees
C. 270 degrees < (theta) < 360 degrees
D. 180 degrees < (theta) < 270 degrees

2 Answers

6 votes

Answer:

Option D


180\°< \theta < 270\°

Explanation:

we know that

If
sin(\theta) <0

then ------> the angle could be in the III or IV quadrant

If
tan(\theta) >0

then -----> the angle could be in the I or III quadrant

so

The angle belong to the III quadrant

therefore


180\°< \theta < 270\°

answered
User Diego Mello
by
8.3k points
3 votes
The correct answer is d
answered
User Trevor Harrison
by
8.3k points

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