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Alinara [238K]
4 years ago
15

Which mathematical symbol would best fill in the blank to compare the two real numbers?

Mathematics
1 answer:
VikaD [51]4 years ago
5 0

1st option, <

sqroot of 7 is 2.6, 14/5 is 2.8.

2.8 is bigger than 2.6

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Idk the answer to this question please help me
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Verify the identity
Igoryamba

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:

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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- sin⁡α cos⁡ β+cos ⁡α sin ⁡β

sin⁡α cos⁡β will be cancelled.

=cos⁡ α sin ⁡β+ cos ⁡α sin ⁡β

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Hence,

sin⁡(α+β)-sin⁡(α-β)=2 cos ⁡α sin ⁡β

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Answer:

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