Question

If sin theta < 0 and tan theta < 0 then:

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

Answer 1

sin and tan are -ve in the second quadrant
check B

Answer 2

the 3rd Quadrant (thats the bottom left one)

the 1st Quadrant is the top right one and it goes anti-clockwise from there

1st Quadrant:
- sin θ > 0
- cos θ > 0
- tan θ > 0

2nd Quadrant:
- sin θ > 0
- cos θ < 0
- tan θ < 0

3rd Quadrant:
- sin θ < 0
- cos θ < 0
- tan θ > 0

4th Quadrant:
- sin θ < 0
- cos θ > 0
- tan θ < 0

u can remember it by labelling each quadrant a letter and writing a sentence for it
e.g. ASTC= All Stations To Central
A= all angles > 0
S= only sin θ > 0
T= only tan θ > 0
C= only cos θ > 0

Answer 3

http://webcache.googleusercontent.com/search?q=cache:1nV8u8KbJ0kJ:answers.yahoo.com/question/index%3Fqid%3D20090331011313AAugJlh+&cd=1&hl=en&ct=clnk

Answer 4

looking at a sine wave
sin is positive (0, pi=180)
sin is negative (pi, 2pi =360)
therefore its a choice between A and D
tan = sin/cos - implies cos+ therefore answer is D