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2 years ago

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

Mathematics

1 answer:

GrogVix [38]2 years ago

8 0

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:

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3 years ago

-x + 2y = 3 2x – 3y = -6

s2008m [1.1K]

Answer:

x = -3

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Step-by-step explanation:

Given equations :- 

-x + 2y = 3 ....... ( i )

2x - 3y = -6 ....... ( ii )

From ( i ) 

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........ ( iv )

Equating ( iii ) and ( iv )

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4 0

2 years ago

What are some of the applications for exponential functions?

Pavel [41]

Answer:

Option B and D are correct

Step-by-step explanation:

Exponential functions are really useful in the real world situation. They can be used to solve following

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3 years ago

How to factor 6n2 - 6n - 12

alexandr402 [8]

We see that in these 3 terms, 6 is a common factor. So, let's factor out a 6:

$6n^2-6n-12 = 6(n^2-n-2)$

We can set this equal to 0 and factor by using the quadratic formula which is:

$x = \frac{-b \pm \sqrt{b^2-4ac} }{2a}$

So, let's do just that:

$6(n^2-n-2) = 0$

Note that the 6 goes away if you divide both sides by 6. In this case, a = 1, b = -1, and c = -2. Let's plug that into the quadratic equation:

$\frac{1 \pm \sqrt{(-1)^2-4(1)(-2)} }{2(1)} = \frac{-1 \pm \sqrt{1-(-8)} }{2}$

$\frac{-1 \pm \sqrt{9} }{2} = {1, -2}$

So, we can write this as:

$6n^2 - 6n - 12 = 6(n-1)(n+2)$

Notice that the 6 comes back because it was only temporarily mad. And that the roots have opposite signs in the parentheses because to find the roots, you need to set each parentheses equal to 0 and solve for n. With that in mind, your final answer is 6(n-1)(n+2). Hope I could help you!

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3 years ago

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