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alexira [117]
3 years ago
7

3.2 - 11(2y + 1) + 4

Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
7 0

Answer:

-3.8-22y

Step-by-step explanation:

3.2-11(2y+1)+4

-11×2y=-22y

-11×1=-11

3.2-22y-11+4

3.2-11+4=-3.8

-3.8-22y

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Proof of the Law of Sines

The Law of Sines states that for any triangle ABC, with sides a,b,c (see below)

a

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=

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For more see Law of Sines.

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Using a similar method it can be shown that in this case

c

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a

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a

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- Q.E.D

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The proof above requires that we draw two altitudes of the triangle. In the case of obtuse triangles, two of the altitudes are outside the triangle, so we need a slightly different proof. It uses one interior altitude as above, but also one exterior altitude.

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Draw the altitude h from the vertex A of the triangle

 sin  B =

h

c

      a n d          sin  C =

h

b

or

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(see Supplementary angles trig identities)

Angle A is BAC, so

 sin  A =

h

c

or

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 sin  C =

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a

or

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a

 sin  A

=

c

 sin  C

Combining (4) and (9):

a

 sin  A

=

b

 sin  B

=

c

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