Question

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

1) Decrease from 1 to 0
2) Decrease from 0 to -1
3) Increase from -1 to 0
4) increase from 0 to 1

Answer 1

The correct answer is

4. Increase from 0 to 1

Explanation:

Let us assume 3 values of θ to validate our claim

Now converting radians to degree we have

But in radian π is 180

Hence we have a range from -180/2 to = -90° and 0°

Let us test -15° and - 45° also

Cos(-90°) = 0

Cos(-45°) = 0.707 increases

Cos(-15) =0.965 increases

Cos (0 ) = 1

the value of cos θ increases from

0 to 1