Indicate the quadrants in which the terminal side of θ must lie in order that sin θ is positive and tan θ is negative.
A)III
B)I
C)II
D)IV
E)none of the above

Question

Indicate the quadrants in which the terminal side of θ  must lie in order that sin  θ  is positive and tan  θ  is negative. ​
A)III
B)I
C)II
D)IV
E)none of the above

Quizplus · Accepted Answer

In quadrant II, sine is positive (as y is positive) but tangent is also positive (as x is negative). In quadrant IV, tangent is negative (as x is negative) but sine is also negative (as y is negative). Therefore, the only option is quadrant III, where sine is positive and tangent is negative.

Indicate the Quadrants in Which the Terminal Side of θ