Mathematics

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

2 Answer

  • 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


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

    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,

    [tex]\dfrac{sin\angle A}{a} = \dfrac{sin\angle B}{b} = \dfrac{sin\angle C}{c}[/tex]

    Remember that we took

    [tex]\dfrac{\sin(angle)}{\text{length of the side opposite to that angle}}[/tex]

    The law of sines is can be written as

    [tex]\dfrac{sin\angle A}{a} = \dfrac{sin\angle B}{b} = \dfrac{sin\angle C}{c}[/tex]

    which can be manipulated algebraically as

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

    Learn more about the law of sines here:

    https://brainly.com/question/17289163

    #SPJ2

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