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
51,000, because the 5 or more round and 4 or less stays the same, the 4 in the hundreds place makes the 1 in the thousandths place stay the same
Farfalla produces 2,400 kites every year.
The number of factories Farfalla owns around the globe = 3;
The number of kites produced by original factory every year = 600;
The number of kites produced by each of other 2 factories every year = 900;
Then the total kites produced by both other factories will be = 2 × 900 = 1800;
Now, the number of kites Farfalla produces every year is = 600 + 1800 = 2400;
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Answer:
It's equal to 3² + 4² + 5² = 9 + 16 + 25 = 50
Answer:
Following are the solution to this question:
Step-by-step explanation:
We used sampling technique to collect samples throughout the instance of Options a and b because here each successive sample frame has the same gap of 10 (in the example) and in 'b' is 1, but we use a simple random sampling in 'b' and 'c' to collect the test because they can't follow any specific pattern from of the collecting systems here.