Step-by-step explanation:
<em>How do you factor a polynomial?
</em>
<em>follow these steps:
</em>
<em>1.Check for the GCF first. ...
</em>
<em>2.Multiply the quadratic term and the constant term. ...
</em>
<em>3.Write down all the factors of the result, in pairs. ...
</em>
<em>4.From this list, find the pair that adds to produce the coefficient of the linear term.</em>
Notice that
• <em>π</em>/2 = <em>π</em>/3 + <em>π</em>/6
• <em>π</em>/6 = <em>π</em>/3 - <em>π</em>/6
Recall the angle sum identities for sine:
sin(<em>x</em> + <em>y</em>) = sin(<em>x</em>) cos(<em>y</em>) + cos(<em>x</em>) sin(<em>y</em>)
sin(<em>x</em> - <em>y</em>) = sin(<em>x</em>) cos(<em>y</em>) - cos(<em>x</em>) sin(<em>y</em>)
By adding these together, we get
sin(<em>x</em> + <em>y</em>) + sin(<em>x</em> - <em>y</em>) = 2 sin(<em>x</em>) cos(<em>y</em>)
==> sin(<em>x</em>) cos(<em>y</em>) = 1/2 (sin(<em>x</em> + <em>y</em>) + sin(<em>x</em> - <em>y</em>))
Now take <em>x</em> = <em>π</em>/3 and <em>y</em> = <em>π</em>/6 :
sin(<em>π</em>/3) cos(<em>π</em>/6) = 1/2 (sin(<em>π</em>/2) + sin(<em>π</em>/6))
So the blank should be filled with cos.
Answer:
C
Step-by-step explanation:
I would say C because,
Even + Even = Even.
Odd + Odd = Odd.
So simply, you can't have an even number if you add it to a odd.
Even + Odd = Odd
She gives away n books per week, so If 
, then she has (
) books left at any time.
this will be the explicit formula.
so we need to write in terms of recrusive.
to be recrusive each term must be expressed in terms of previous term.
in this represent ![a_{w[tex] +1](https://tex.z-dn.net/?f=%20a_%7Bw%5Btex%5D%20%2B1%20)
} [/tex] in terms of 
replace w+1 in place of w .
.
. this will be the recrusive expression for number of books she left.
