Answer:
We have to prove
sin(α+β)-sin(α-β)=2 cos α sin β
We will take the left hand side to prove it equal to right hand side
So,
=sin(α+β)-sin(α-β) Eqn 1
We will use the following identities:
sin(α+β)=sin α cos β+cos α sin β
and
sin(α-β)=sin α cos β-cos α sin β
Putting the identities in eqn 1
=sin(α+β)-sin(α-β)
=[ sin α cos β+cos α sin β ]-[sin α cos β-cos α sin β ]
=sin α cos β+cos α sin β- sinα cos β+cos α sin β
sinα cosβ will be cancelled.
=cos α sin β+ cos α sin β
=2 cos α sin β
Hence,
sin(α+β)-sin(α-β)=2 cos α sin β
If two numbers are a and b
a+b=56
a-b=16
2a=76
a=38
b=22
the product is a*b=38*22=836
You combine like terms so 5x + 3x= 8x and 2y + 4y = 6y so it is 8x + 6y
Hello!
The greatest common factor (GCF) is self explanatory. We find the factors of each number, and find the largest ones that are in common
12: 1,12,2,6,3,4
33:1,33,3,11,
As you can see, the greatest number these two have in common is 3.
Now for the next set.
45: 1,45,3,15,5,9
70:1,70,2,35,5,14,7,10
As you can see, our GCF is 5.
Therefore, our answers are below.
9) 3
10) 5
I hope this helps!
Answer:
16 years
Step-by-step explanation: