3 years ago

Is 1 a vomposite number?

Mathematics

1 answer:

Bas_tet [7]3 years ago

4 0

No, 1 is not a composite number because it needs one positive factor other than 1 and itself

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How do you solve cot^2x + cscx= 1 <br>(0,2pi)

Nastasia [14]

$\bf 1+cot^2(\theta)=csc^2(\theta)\implies cot^2(\theta)=csc^2(\theta)-1
\\\\\\
csc(\theta)=\cfrac{1}{sin(\theta)}
\\\\
-------------------------------\\\\
cot^2(x)+csc(x)=1\implies csc^2(x)-1+csc(x)=1
\\\\\\
csc^2(x)+csc(x)-2=0\implies [csc(x)-2][csc(x)+1]=0\\\\
-------------------------------\\\\$

$\bf csc(x)-2=0\implies csc(x)=2\implies \cfrac{1}{sin(x)}=2\implies \cfrac{1}{2}=sin(x)
\\\\\\
sin^{-1}\left( \frac{1}{2} \right)=\measuredangle x\implies \frac{\pi }{6}~~,~~\frac{5\pi }{6}=\measuredangle x\\\\
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csc(x)+1=0\implies csc(x)=-1\implies \cfrac{1}{sin(x)}=-1
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\cfrac{1}{-1}=sin(x)
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-1=sin(x)\implies sin^{-1}(-1)=\measuredangle x\implies \frac{3\pi }{2}=\measuredangle x$

6 0

3 years ago

In how many ways can Susan arrange 10 books into 3 slots on her bookshelf?

ahrayia [7]

Hello there,

If she has 10 books and she can arrange it 3 ways on her bookshelf, you just multiply 10 and 3

10 x 3= 30

Susan can arrange 10 books into 3 slots 30 ways.

Hope this helps!

4 0

3 years ago

MA = 8x – 2, mB = 2x – 8, and mC = 94 – 4x. List the sides of ABC in order from shortest to longest.

lutik1710 [3]

I hope this helps you