Question

As θ increases from -pi/2 to 0 radians, the value of cos θ will.

Answer 1

Answer:

4) Increase from 0 to 1

Step-by-step explanation:

We have to analyze the value of cos(Ф) from -π/2 to 0. This can be done if we simplify evaluate the value of cos(Ф) at these two extreme.

$cos(-\frac{\pi}{2}) = cos(\frac{\pi}{2} )=cos(90)=0\\\\ cos(0)=1$

This shows that value of cos(Ф) is 0 at  -π/2  or -90 degrees and increased to 0 at 0 degrees.

This answer can be validated if you visualize the graph of cos function. Cos function has a peak at 0 degrees, i.e. a value equal to 1. On right and left side of 0 degrees, the curve starts falling down and eventually touches the horizontal axis at 90 degrees and -90 degrees. This is shown in the graph attached below: