Question

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

Answer 1

The Solution:

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

The Law of Sine is:

$\frac{a}{\sin A}=\frac{c}{\sin C}$

Cross multiply:

$a\sin C=c\sin A$

Divide both sides by sinC.

$a=\frac{c\sin A}{\sin C}$

Therefore, the correct answer is [option A ]