Question

which of the following equations correctly represents the law of sines?

A.) a sin B
----------
sin B

B.) a sin A
----------
sin B

C.) b sin B
----------
sin A

D.) b sin A
----------
sin B

Answer 1

It seems as if D is the answer
The law of sines is usually written as
[sin (A) / a] = [sin (B) / b] which can be manipulated algebraically as
[b * sin (A) / sin (B)] = a

Answer 2

The equations represent the law of sines correctly would be option D that is  $[b \times\dfrac{ sin (A) }{ sin (B)}] = a$.

What is the law of sines?

For any triangle ABC, with side measures |BC| = a. |AC| = b. |AB| = c,

we have, by law of sines,

$\dfrac{sin\angle A}{a} = \dfrac{sin\angle B}{b} = \dfrac{sin\angle C}{c}$

Remember that we took

$\dfrac{\sin(angle)}{\text{length of the side opposite to that angle}}$

The law of sines is can be written as

$\dfrac{sin\angle A}{a} = \dfrac{sin\angle B}{b} = \dfrac{sin\angle C}{c}$

which can be manipulated algebraically as

$[b \times\dfrac{ sin (A) }{ sin (B)}] = a$

Learn more about the law of sines here:

https://brainly.com/question/17289163

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