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3 years ago

What does no gains or no losses on first down meaning

Mathematics

1 answer:

MissTica3 years ago

6 0

It means the ball did not move forward or backward. It stayed on the same line where it was

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Sinx + siny=a<br> cosx + cosy=b<br> Find cos(x+y/2)

romanna [79]

Using the addition rule of the Sine function and the Cosine function, we obtain $\cos\dfrac{x+y}{2}=\dfrac{b}{\sqrt{a^2+b^2}}$ .

<h3>What are the formulas for (sin x + sin y) and (cos x + cos y)?</h3>

The formula for the addition of two Sine functions ( $\sin x+\sin y$ ) is $\sin x + \sin y = 2\sin\frac{x+y}{2}\cos\frac{x-y}{2}$ .
The formula for the addition of two Cosine functions ( $\cos x+\cos y$ ) is $\cos x + \cos y = 2\cos\frac{x+y}{2}\cos\frac{x-y}{2}$ .

Given that

$\sin x + \sin y = a\\\cos x + \cos y = b$

Then using the above formulas, we get:

$2\sin\frac{x+y}{2}\cos\frac{x-y}{2}=a$ (1)

$2\cos\frac{x+y}{2}\cos\frac{x-y}{2}=b$ (2)

Dividing the equation (1) by (2), we get:

$\dfrac{\sin\dfrac{x+y}{2}}{\cos\frac{x-y}{2}}=\dfrac{a}{b}\\\Longrightarrow \tan\dfrac{x+y}{2}=\dfrac{a}{b}$ (3)

Now, we know that $\cos\theta=\dfrac{1}{\sqrt{1+\tan^2\theta}}$ .

Thus, using the above formula, we get from (3):

$\cos\dfrac{x+y}{2}=\dfrac{1}{\sqrt{1+\tan^2\dfrac{x+y}{2}}}\\\Longrightarrow \cos\dfrac{x+y}{2}=\dfrac{1}{\sqrt{1+\dfrac{a^2}{b^2}}}\\\Longrightarrow \cos\dfrac{x+y}{2}=\dfrac{b}{\sqrt{a^2+b^2}}$

Therefore, using the addition rule of the Sine function and the Cosine function, we obtain $\cos\dfrac{x+y}{2}=\dfrac{b}{\sqrt{a^2+b^2}}$ .

To know more about Sine and Cosine functions, refer: brainly.com/question/27728553

#SPJ9

3 0

2 years ago

What’s the variation

Ilia_Sergeevich [38]

Area=A
Side=n
=>area of a square=side*side
=>A=n*n
=>A=n^2
Hope this helps u..!!!

4 0

3 years ago

Solve for y:10.3=0.6y

valkas [14]

10.3=0.6y
30=0.6y
y=30/0.6
y=50

7 0

3 years ago

Read 2 more answers

How do I solve: -(19-3s)-(8s+1)=35

bazaltina [42]

Hi Kimberly!

-(19 - 3s) - (8s + 1) = 35
-19 + 3s -8s - 1 = 35
-19 - 1 + 3s - 8s = 35
-20 - 5s = 35
-5s =35 + 20
-5s = 55
Divide both sides by -5
-5s/-5 = 55/-5
s = -11

A+ for Algebra guaranteed! <span />

7 0

3 years ago

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A number line going from negative 2 to positive 2 in increments of 1. There are 2 equal spaces between each number. The line con

Assoli18 [71]

Answer:

ITS A B F ON EDGE GUYS THE PEOPLE IN COMMENTS RIGHT!!!!!1

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3 years ago