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
Answer:
$34.77
Step-by-step explanation:
Hey again...
So the first angle is angle C.
The first side is FC
and the second side is CG.
There you go and hope this helps!
Answer: H' : u = 24
Step-by-step explanation: Let H' represents the null hypothesis and H1 represents the alternative hypothesis.
From the question, the initial claim or assertion is that the machine is set to fill 24 ounces of cereal.
Hence H' : u = 24 ounces..... This is the null hypothesis.
After taking a sample of 100 boxes, they checked whether or not the machine is filling the boxes worn an average of 24 ounces of cereal.
This is the alternative hypothesis and is written as
H1: u ≠ 24 ( 2 tailed test)
