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Which of the following equations correctly represents the law of sines?A. a=!c sin Asin Cc sin Csin Aa sin Asin COB.a =O C. a=O D. a =a sin Csin A

Which Of The Following Equations Correctly Represents The Law Of SinesA Ac Sin Asin Cc Sin Csin Aa Sin Asin COBa O C AO D A A Sin Csin A class=

Sagot :

The Solution:

We are required to determine the Law of Sine from the given options.

The Law of Sine is:

[tex]\frac{a}{\sin A}=\frac{c}{\sin C}[/tex]

Cross multiply:

[tex]a\sin C=c\sin A[/tex]

Divide both sides by sinC.

[tex]a=\frac{c\sin A}{\sin C}[/tex]

Therefore, the correct answer is [option A ]

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