michellemon1206
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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

Respuesta :

SaniShahbaz

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.

[tex]cos(-\frac{\pi}{2}) = cos(\frac{\pi}{2} )=cos(90)=0\\\\ cos(0)=1[/tex]

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:

Ver imagen SaniShahbaz

The value of cos θ will be increase from 0 to 1. Then the correct option is D.

What is trigonometry?

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

As θ increases from -π/2 to 0 radians.

Then the value of cos θ will be increase from 0 to 1.

Then the correct option is D.

The graph is given below.

More about the trigonometry link is given below.

https://brainly.com/question/22698523

#SPJ5

Ver imagen jainveenamrata

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