Question

Which quarters of the unit circle satisfy the trigonometric inequality tan∅ ≤ 0? Assume that ∅ is the angle made by the positive x-axis and a ray from the origin.

A) the top right and bottom right quarters
B) the top right and bottom left quarters
C) the top left and bottom right quarters
D) the top left and bottom left quarters

Answer 1

Answer: C

the top left and bottom right quarters

Explanation:

Answer 2

C

Explanation:

If tan is less than or equal to zero, we want to find the quadrant in which this works

The quadrant in which these occurs include the 2nd and 4th quadrants

Only sine is positive in the second quadrant, while only cosine is positive in the 4th quadrant

So according to the options, our answer is;

Top left and bottom right quarters