Question

Is the slope of arctan always positive.

A) True
B) False
C) Depends on the quadrant
D) Not applicable

Answer 1

The slope of arctan can be positive or negative depending on the quadrant.

Step-by-step explanation:

The slope of arctan can be positive or negative depending on the quadrant.

In the first and third quadrants, the slope of arctan is positive. In the second and fourth quadrants, the slope of arctan is negative. This is because the tangent function, which is the inverse of arctan, has these properties.

For example, in the first quadrant, if we take the point (1, 1), the slope of arctan is positive 45 degrees. In the second quadrant, if we take the point (-1, 1), the slope of arctan is negative 45 degrees.