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3 years ago

(33)(1/9 2−6+2) solve

Mathematics

1 answer:

gregori [183]3 years ago

4 0

(33)(1/9•2-6+2)
18-6+2=14
33•1/14 = 33/14

The answer is 33/14 or 2.35714

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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

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2 years ago

Giving max points and brain thing

QveST [7]

Answer:

yes {(1, 1), (2, 2), (3, 3), (4,4)}

{no (1, 6), (9, 3), (6, 1), (3, 9)}

yes {(1,2), (3, 4), (5, 6), (1, 3}

no {(7,5), (-3, 7), (-7, 5), (-3,5)}b

I think it's correct

Step-by-step explanation:

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3 years ago

Given: a ∥ b and ∠1 ≅ ∠3

gayaneshka [121]

Answer:

∠1 ≅ ∠2

Step-by-step explanation:

As shown in the figure:

We need to prove e ∥ f using the congruent angle.

So, check the options:

A) ∠2 ≅ ∠4 ⇒ (Wrong)

B) ∠1 ≅ ∠2 ⇒ (True) because a ∥ b (Given)

C) ∠2 ≅ ∠3 ⇒ It is required to prove that to prove e ∥ f , it can't be used.

D) ∠1 ≅ ∠4 ⇒ (Wrong)

The complete sentence will be:

We see that <u>∠1 ≅ ∠2</u> by the alternate exterior angles theorem.

Therefore, angle 2 is congruent to angle 3 by the transitive property.

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3 years ago

Carlo attends art class every 4 wee,s chess club, every 2 weeks, and fencing lessons every 3 weeks. If he attended all three thi

andreev551 [17]

In 12 weeks because

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3 years ago

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PLEASE HELP!! GIVING BRAINLIEST!!!!!

Slav-nsk [51]

Answer:

your answer will be C)117

Step-by-step explanation:

hope this helps you ^_^

have a nice/night day!!

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3 years ago

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