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Mathematics

1 answer:

IRINA_888 [86]2 years ago

5 0

8.7 hope this helpsss L

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16) Please help with question. WILL MARK BRAINLIEST + 10 POINTS.

Katyanochek1 [597]

We will use the sine and cosine of the sum of two angles, the sine and consine of $\frac{\pi}{2}$ , and the relation of the tangent with the sine and cosine:

$\sin (\alpha+\beta)=\sin \alpha\cdot\cos\beta + \cos\alpha\cdot\sin\beta

\cos(\alpha+\beta)=\cos\alpha\cdot\cos\beta-\sin\alpha\cdot\sin\beta$

$\sin\dfrac{\pi}{2}=1,\ \cos\dfrac{\pi}{2}=0$

$\tan\alpha = \dfrac{\sin\alpha}{\cos\alpha}$

If you use those identities, for $\alpha=x,\ \beta=\dfrac{\pi}{2}$ , you get:

$\sin\left(x+\dfrac{\pi}{2}\right) = \sin x\cdot\cos\dfrac{\pi}{2} + \cos x\cdot\sin\dfrac{\pi}{2} = \sin x\cdot0 + \cos x \cdot 1 = \cos x$

$\cos\left(x+\dfrac{\pi}{2}\right) = \cos x \cdot \cos\dfrac{\pi}{2} - \sin x\cdot\sin\dfrac{\pi}{2} = \cos x \cdot 0 - \sin x \cdot 1 = -\sin x$

Hence:

$\tan \left(x+\dfrac{\pi}{2}\right) = \dfrac{\sin\left(x+\dfrac{\pi}{2}\right)}{\cos\left(x+\dfrac{\pi}{2}\right)} = \dfrac{\cos x}{-\sin x} = -\cot x$

3 0

3 years ago

tyron and his friends go to a movie theater where large tub of popcorn costs $8 .25 and a medium soda costs $3.75 tyrone has $30

Veseljchak [2.6K]

30-8.25= 21.75

21.75/3.75= 5.8, you can't buy .8 of a soda so he could buy 5 sodas.

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3 years ago

One gram of water contains about 3.34 times 10^22 molecules. About how many molecules are contained in 5.0 times 10^2 grams of w

svetlana [45]

The answer is 1.67 x 10<span>^25. Your welcome.

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2 years ago

Read 2 more answers

I will give brainliest:)

Scorpion4ik [409]

The difference starts off by 7. Then it continues to double. Then the answer is 14, 28, 42. The answer doubles every time.

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2 years ago

Asher please $156 every six weeks for piano lessons what is the price per year for piano lessons

Svet_ta [14]

You would first learn how many weeks there are in a year which is 52
So you would multiply 52x156
Which equals 8112
Asher pays $8112 per year for piano lessons

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2 years ago