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pogonyaev
3 years ago
10

Please help me!simplify​

Mathematics
2 answers:
olga55 [171]3 years ago
7 0

Step-by-step explanation:

Recall that

\sin (\frac{\pi}{2} - x) = \cos x

\cos (\frac{\pi}{2} - x) = \sin x

So we can rewrite the given expression as

\dfrac{\cos^2 x}{\sin^2 x} + (\sin^2 x + \cos^2 x)

\Rightarrow \dfrac{\cos^2 x}{\sin^2 x} + 1

or

\dfrac{\cos^2 x + \sin^2 x}{\sin^2 x} = \dfrac{1}{\sin^2 x} = \csc^2 x

Bond [772]3 years ago
4 0

Answer:

sec^2(x)

Tell me if I'm correct or wrong. If I'm correct, plz mark me brainliest!

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Christopher opened a savings account with $1800 that pays no interest. He deposits an additional $90 each week thereafter. How m
puteri [66]

Answer:

I think 5580

Step-by-step explanation:

You move the 1800 away for a bit so since it's 42 weeks you have to multiply 90 and 42 then add that to 1800.

4 0
3 years ago
A rectangle has an area of 36 inches squared. Write an equation to show how the length (l) varies inversely the width (w).
Anastaziya [24]
Start with the first sentence, and the definition of the area of a rectangle:
l * w = 36

Rewrite the equation to get
l = 36 / w
or
w = 36 / l
Either one shows the inverse relationship between w and l.

Assuming the last part wants you to write an equation for an x-y graph, the equation would be
y = 36 / x
8 0
3 years ago
What is the relationship between the 6s in the number 660,472?
Pavel [41]
 it would be sixty six hundred thousand and four hundred and seventy two
4 0
3 years ago
I don't know how to answer this <br> 19=n/3-8
lbvjy [14]

Step-by-step explanation:

19 + 8 = n/3

27 = n/3 (multiply both sides with 3)

81=n

5 0
4 years ago
<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B2%28x%20%2B%204%29%7D%7B3%7D%20%20-%208%20%3D%2032" id="TexFormula1" title=" \fra
Serggg [28]

Answer:

\frac{2(x + 4)}{3} - 8 = 32

\frac{2(x + 4) - 8(3)}{3}  = 32

2(x + 4) - 24 = 96

2x + 8  - 24 = 96

2x = 96 + 24 - 8

2x = 112

x = 56

5 0
3 years ago
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