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

Question

Mathematics

Lucas Rodgers

3 December, 21:08

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

+2

Answers (1)

Know the Answer?

Chelsea Clay · Answer 1

The correct answer is

4. Increase from 0 to 1

Step-by-step 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

As θ increases from - pi/2 to 0 radians, the value of cos θ will.1) Decrease from 1 to 02) Decrease from 0 to - 13) Increase from - 1 to 04) increase from 0 to 1

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